## Šlapal, Josef

Compute Distance To:
 Author ID: slapal.josef Published as: Šlapal, Josef; Šlapal, J.; Slapal, Josef; Slapal, J. External Links: ORCID
 Documents Indexed: 107 Publications since 1984 1 Contribution as Editor Co-Authors: 12 Co-Authors with 17 Joint Publications 186 Co-Co-Authors
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### Co-Authors

 91 single-authored 3 Holgate, David B. 2 Bednařík, František 2 Chaisansuk, Nitima 2 Giuli, Eraldo 2 Pfaltz, John L. 2 Richmond, Thomas A. 1 Barneva, Reneta P. 1 Boonpok, Chawalit 1 Brimkov, Valentin E. 1 Kureš, Miroslav 1 Leeratanavalee, Sorasak 1 Novotný, Miroslav
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### Serials

 6 Applied Categorical Structures 5 Mathematica Slovaca 4 Czechoslovak Mathematical Journal 4 Publicationes Mathematicae 4 Topology and its Applications 4 Topology Proceedings 3 Demonstratio Mathematica 3 Mathematische Nachrichten 3 Acta Mathematica Hungarica 3 Mathematica Pannonica 3 Aequationes Mathematicae 3 Filomat 2 Discrete Applied Mathematics 2 Quaestiones Mathematicae 2 Theoretical Computer Science 2 New Zealand Journal of Mathematics 2 East-West Journal of Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Mathematics for Applications 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Beiträge zur Algebra und Geometrie 1 Acta Scientiarum Mathematicarum 1 Algebra Universalis 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Collectanea Mathematica 1 Information Sciences 1 Journal of Computer and System Sciences 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Acta Mathematica Universitatis Comenianae 1 Note di Matematica 1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 1 Mathematica Bohemica 1 International Journal of Computer Mathematics 1 Tatra Mountains Mathematical Publications 1 Computational and Applied Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Fundamenta Informaticae 1 Discussiones Mathematicae. General Algebra and Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Thai Journal of Mathematics 1 Miskolc Mathematical Notes 1 Carpathian Journal of Mathematics 1 Lecture Notes in Computer Science 1 TWMS Journal of Pure and Applied Mathematics 1 Open Mathematics
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### Fields

 54 General topology (54-XX) 39 Category theory; homological algebra (18-XX) 26 General algebraic systems (08-XX) 25 Computer science (68-XX) 14 Combinatorics (05-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 7 Mathematical logic and foundations (03-XX) 4 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

56 Publications have been cited 217 times in 96 Documents Cited by Year
Categorical neighborhood operators. Zbl 1232.54018
Holgate, David; Šlapal, Josef
2011
Digital Jordan curves. Zbl 1111.54021
Šlapal, Josef
2006
Closure operations for digital topology. Zbl 1081.68111
Šlapal, J.
2003
A digital analogue of the Jordan curve theorem. Zbl 1062.54001
Šlapal, J.
2004
Topological structuring of the digital plane. Zbl 1285.68190
Šlapal, Josef
2013
A quotient-universal digital topology. Zbl 1155.54015
Šlapal, Josef
2008
Convenient closure operators on $$\mathbb Z^2$$. Zbl 1267.68257
Šlapal, Josef
2009
Neighborhoods with respect to a categorical closure operator. Zbl 1265.18014
Giuli, E.; Šlapal, J.
2009
Net spaces in categorical topology. Zbl 0902.54008
Šlapal, Josef
1996
Relations and topologies. Zbl 0797.04002
Šlapal, Josef
1993
Convergence structures for categories. Zbl 1006.18005
Šlapal, Josef
2001
Graphs with a path partition for structuring digital spaces. Zbl 1284.05310
Šlapal, Josef
2013
Jordan curve theorems with respect to certain pretopologies on $$\mathbb Z^2$$. Zbl 1261.68118
Šlapal, Josef
2009
Direct arithmetics of relational systems. Zbl 0733.08001
Šlapal, Josef
1991
Compactness in categories of $$\mathcal S$$-net spaces. Zbl 0917.54029
Šlapal, Josef
1998
Cardinal arithmetic of general relational systems. Zbl 0797.04001
Šlapal, Josef
1993
A Galois correspondence between closure spaces and relational systems. Zbl 0932.06005
Šlapal, Josef
1998
Compactification of limit $$\mathcal S$$-net spaces. Zbl 0978.54017
Šlapal, Josef
2001
Compactness with respect to a convergence structure. Zbl 1006.18006
Šlapal, Josef
2002
Convergence on categories. Zbl 1158.18002
Šlapal, Josef
2008
Compactness and convergence with respect to a neighborhood operator. Zbl 1256.54034
Šlapal, Josef
2012
On exponentiation of $$n$$-ary algebras. Zbl 0798.08001
Šlapal, J.
1994
Neighborhoods and convergence with respect to a closure operator. Zbl 1274.18015
Šlapal, Josef
2011
On closure operations induced by binary relations. Zbl 0658.54002
Šlapal, Josef
1988
Relations of type $$\alpha$$. Zbl 0668.04002
Šlapal, Josef
1988
On the direct power of relational systems. Zbl 0686.08001
Šlapal, Josef
1989
Relation-induced connectedness in the digital plane. Zbl 1390.68732
Šlapal, Josef
2018
$$F$$-net convergence with respect to a closure operator. Zbl 1069.18005
Šlapal, Josef
2005
Exponentiality in concrete categories. Zbl 0793.18004
Šlapal, Josef
1993
Raster convergence with respect to a closure operator. Zbl 1106.54006
Giuli, E.; Slapal, J.
2005
A Jordan curve theorem in the digital plane. Zbl 1330.68317
Slapal, Josef
2011
Path-set induced closure operators on graphs. Zbl 1462.05313
Šlapal, Josef
2016
Cartesian closedness in categories of relational systems. Zbl 0677.18007
Šlapal, Josef
1989
On relations. Zbl 0682.04001
Šlapal, Josef
1989
A conglomerate of exponential supercategories of the category of finitely generated topological spaces. Zbl 0814.18001
Šlapal, Josef
1995
A note on diagonality of algebras. Zbl 0770.08002
Šlapal, Josef
1992
A Galois correspondence for digital topology. Zbl 1069.18006
Šlapal, J.
2004
A note on general relations. Zbl 0839.04002
Šlapal, Josef
1995
On embeddings of relational categories into algebraic categories. Zbl 0834.18003
Šlapal, Josef
1993
Exponentiality in categories of partial algebras. Zbl 1006.08006
Šlapal, Josef
2002
On exponentiation of universal hyperalgebras. Zbl 1013.08008
Šlapal, Josef
2000
On powers of relational structures. Zbl 1012.08004
Novotný, Miroslav; Šlapal, Josef
2002
Neighborhood spaces and convergence. Zbl 1201.54005
Richmond, Tom; Šlapal, Josef
2010
On a product of universal hyperalgebras. Zbl 1349.08006
Chaisansuk, Nitima; Šlapal, Josef
2015
Another approach to connectedness with respect to a closure operator. Zbl 1184.54014
Šlapal, J.
2009
On the stability of some properties of partial algebras under powers. Zbl 1313.08003
Chaisansuk, N.; Leeratanavalee, S.; Šlapal, J.
2014
Jordan curves in the digital plane. Zbl 1297.68249
Šlapal, Josef
2014
Convenient adjacencies for structuring the digital plane. Zbl 1321.05139
Šlapal, Josef
2015
A Cartesian closed topological category of sequential spaces. Zbl 0724.18007
Šlapal, J.
1990
On categories of ordered sets with a closure operator. Zbl 1240.18016
Šlapal, Josef
2011
On the axioms preserved by modifications of topologies without axioms. Zbl 0681.54003
Šlapal, Josef
1988
Convenient adjacencies on $$\mathbb Z^2$$. Zbl 1464.05219
Šlapal, Josef
2014
Closure operators associated with networks. Zbl 1368.05138
Šlapal, Josef; Pfaltz, John L.
2017
Adjacencies for structuring the digital plane. Zbl 1377.68291
Šlapal, Josef
2012
A Jordan curve theorem with respect to certain closure operations on the digital plane. Zbl 1260.68423
Šlapal, Josef
2001
A categorical approach to convergence: compactness. Zbl 1333.18011
Šlapal, Josef
2016
Relation-induced connectedness in the digital plane. Zbl 1390.68732
Šlapal, Josef
2018
Closure operators associated with networks. Zbl 1368.05138
Šlapal, Josef; Pfaltz, John L.
2017
Path-set induced closure operators on graphs. Zbl 1462.05313
Šlapal, Josef
2016
A categorical approach to convergence: compactness. Zbl 1333.18011
Šlapal, Josef
2016
On a product of universal hyperalgebras. Zbl 1349.08006
Chaisansuk, Nitima; Šlapal, Josef
2015
Convenient adjacencies for structuring the digital plane. Zbl 1321.05139
Šlapal, Josef
2015
On the stability of some properties of partial algebras under powers. Zbl 1313.08003
Chaisansuk, N.; Leeratanavalee, S.; Šlapal, J.
2014
Jordan curves in the digital plane. Zbl 1297.68249
Šlapal, Josef
2014
Convenient adjacencies on $$\mathbb Z^2$$. Zbl 1464.05219
Šlapal, Josef
2014
Topological structuring of the digital plane. Zbl 1285.68190
Šlapal, Josef
2013
Graphs with a path partition for structuring digital spaces. Zbl 1284.05310
Šlapal, Josef
2013
Compactness and convergence with respect to a neighborhood operator. Zbl 1256.54034
Šlapal, Josef
2012
Adjacencies for structuring the digital plane. Zbl 1377.68291
Šlapal, Josef
2012
Categorical neighborhood operators. Zbl 1232.54018
Holgate, David; Šlapal, Josef
2011
Neighborhoods and convergence with respect to a closure operator. Zbl 1274.18015
Šlapal, Josef
2011
A Jordan curve theorem in the digital plane. Zbl 1330.68317
Slapal, Josef
2011
On categories of ordered sets with a closure operator. Zbl 1240.18016
Šlapal, Josef
2011
Neighborhood spaces and convergence. Zbl 1201.54005
Richmond, Tom; Šlapal, Josef
2010
Convenient closure operators on $$\mathbb Z^2$$. Zbl 1267.68257
Šlapal, Josef
2009
Neighborhoods with respect to a categorical closure operator. Zbl 1265.18014
Giuli, E.; Šlapal, J.
2009
Jordan curve theorems with respect to certain pretopologies on $$\mathbb Z^2$$. Zbl 1261.68118
Šlapal, Josef
2009
Another approach to connectedness with respect to a closure operator. Zbl 1184.54014
Šlapal, J.
2009
A quotient-universal digital topology. Zbl 1155.54015
Šlapal, Josef
2008
Convergence on categories. Zbl 1158.18002
Šlapal, Josef
2008
Digital Jordan curves. Zbl 1111.54021
Šlapal, Josef
2006
$$F$$-net convergence with respect to a closure operator. Zbl 1069.18005
Šlapal, Josef
2005
Raster convergence with respect to a closure operator. Zbl 1106.54006
Giuli, E.; Slapal, J.
2005
A digital analogue of the Jordan curve theorem. Zbl 1062.54001
Šlapal, J.
2004
A Galois correspondence for digital topology. Zbl 1069.18006
Šlapal, J.
2004
Closure operations for digital topology. Zbl 1081.68111
Šlapal, J.
2003
Compactness with respect to a convergence structure. Zbl 1006.18006
Šlapal, Josef
2002
Exponentiality in categories of partial algebras. Zbl 1006.08006
Šlapal, Josef
2002
On powers of relational structures. Zbl 1012.08004
Novotný, Miroslav; Šlapal, Josef
2002
Convergence structures for categories. Zbl 1006.18005
Šlapal, Josef
2001
Compactification of limit $$\mathcal S$$-net spaces. Zbl 0978.54017
Šlapal, Josef
2001
A Jordan curve theorem with respect to certain closure operations on the digital plane. Zbl 1260.68423
Šlapal, Josef
2001
On exponentiation of universal hyperalgebras. Zbl 1013.08008
Šlapal, Josef
2000
Compactness in categories of $$\mathcal S$$-net spaces. Zbl 0917.54029
Šlapal, Josef
1998
A Galois correspondence between closure spaces and relational systems. Zbl 0932.06005
Šlapal, Josef
1998
Net spaces in categorical topology. Zbl 0902.54008
Šlapal, Josef
1996
A conglomerate of exponential supercategories of the category of finitely generated topological spaces. Zbl 0814.18001
Šlapal, Josef
1995
A note on general relations. Zbl 0839.04002
Šlapal, Josef
1995
On exponentiation of $$n$$-ary algebras. Zbl 0798.08001
Šlapal, J.
1994
Relations and topologies. Zbl 0797.04002
Šlapal, Josef
1993
Cardinal arithmetic of general relational systems. Zbl 0797.04001
Šlapal, Josef
1993
Exponentiality in concrete categories. Zbl 0793.18004
Šlapal, Josef
1993
On embeddings of relational categories into algebraic categories. Zbl 0834.18003
Šlapal, Josef
1993
A note on diagonality of algebras. Zbl 0770.08002
Šlapal, Josef
1992
Direct arithmetics of relational systems. Zbl 0733.08001
Šlapal, Josef
1991
A Cartesian closed topological category of sequential spaces. Zbl 0724.18007
Šlapal, J.
1990
On the direct power of relational systems. Zbl 0686.08001
Šlapal, Josef
1989
Cartesian closedness in categories of relational systems. Zbl 0677.18007
Šlapal, Josef
1989
On relations. Zbl 0682.04001
Šlapal, Josef
1989
On closure operations induced by binary relations. Zbl 0658.54002
Šlapal, Josef
1988
Relations of type $$\alpha$$. Zbl 0668.04002
Šlapal, Josef
1988
On the axioms preserved by modifications of topologies without axioms. Zbl 0681.54003
Šlapal, Josef
1988
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### Cited by 75 Authors

 39 Šlapal, Josef 14 Han, Sang-Eon 8 Holgate, David B. 5 Razafindrakoto, Ando 3 Castellini, Gabriele 3 Dikranjan, Dikran N. 3 Iragi, Minani 2 Boonpok, Chawalit 2 Chaisansuk, Nitima 2 Das, Ananga Kumar 2 Leeratanavalee, Sorasak 2 Novák, Vítězslav 2 Novotný, Miroslav 1 Abo-Tabl, E. A. 1 Allam, Ahmad A. 1 Ameri, Reza 1 Asghari-Larimi, Mohsen 1 Assfaw, Fikreyohans Solomon 1 Bakeir, Mohammad Y. 1 Bhat, Pratibha 1 Darus, Maslina 1 Duckerts-Antoine, Mathieu 1 Dufourd, Jean-François 1 Dydak, Jerzy 1 Eroglu, Irem 1 Fajardo-Rojas, Diego 1 Fajmon, Břetislav 1 Ghosh, Partha Pratim 1 Girish, K. P. 1 Giuli, Eraldo 1 Gran, Marino 1 Güner, Erdal 1 Gupta, Ria 1 Haarmann, Jason 1 Hardie, Keith A. 1 Hosseini, Seyed Naser 1 Hussain, Saqib 1 Janelidze, Zurab 1 John, Sunil Jacob 1 Jonard-Pérez, Natalia 1 Kang, Jeong Min 1 Khampakdee, Jeeranunt 1 Kovács, Gergely 1 Künzi, Hans-Peter A. 1 Lazaar, Sami 1 Liu, Guilong 1 Lodhi, Saeed 1 Maghsoomi, M. 1 Min, Kyung Chan 1 Mishra, Seema 1 Murcia, Edwin Gonzalo 1 Murphy, Meg P. 1 Na, Il-Kang 1 Nagy, Benedek 1 Peters, Casey S. 1 Pfaltz, John L. 1 Phrommarat, Nitima 1 Rasheed, Akhter 1 Richmond, Thomas A. 1 Shah, Syed Ghoos Ali 1 Shakhmatov, Dmitri B. 1 Shir Ali Nasab, Amir Reza 1 Srivastava, Arun Kamar 1 Srivastava, Rekha 1 Staecker, Peter Christopher 1 Sudsanit, Sivaree 1 Tholen, Walter 1 Tiwari, S. P. 1 Turki, Tarek 1 Vizvári, Béla 1 Weighill, Thomas 1 Witbooi, Peter Joseph 1 Yao, Wei 1 Zhang, Conglei 1 Zhang, Zhiguo
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### Cited in 43 Serials

 19 Topology and its Applications 9 Applied Categorical Structures 5 Czechoslovak Mathematical Journal 5 Mathematica Slovaca 3 Discrete Applied Mathematics 3 Theoretical Computer Science 3 Aequationes Mathematicae 3 Computational and Applied Mathematics 2 Information Sciences 2 Journal of Computer and System Sciences 2 Quaestiones Mathematicae 2 Acta Mathematica Hungarica 2 Journal of Mathematical Imaging and Vision 2 Acta Mathematica Universitatis Ostraviensis 2 Journal of Nonlinear Science and Applications 1 Chaos, Solitons and Fractals 1 Algebra Universalis 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Fuzzy Sets and Systems 1 Journal of Algebra 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the Iranian Mathematical Society 1 Journal of Automated Reasoning 1 International Journal of Approximate Reasoning 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Theory and Applications of Categories 1 Annals of Mathematics and Artificial Intelligence 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Soft Computing 1 Novi Sad Journal of Mathematics 1 Fundamenta Informaticae 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Intelligent and Fuzzy Systems 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Journal of Advanced Studies in Topology 1 Journal of Mathematics 1 Open Mathematics 1 Cogent Mathematics 1 AIMS Mathematics
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### Cited in 17 Fields

 59 General topology (54-XX) 32 Category theory; homological algebra (18-XX) 30 Computer science (68-XX) 12 General algebraic systems (08-XX) 10 Mathematical logic and foundations (03-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 9 Combinatorics (05-XX) 7 Algebraic topology (55-XX) 3 Convex and discrete geometry (52-XX) 2 Group theory and generalizations (20-XX) 2 Numerical analysis (65-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)