Edit Profile (opens in new tab) Holgate, David B. Compute Distance To: Compute Author ID: holgate.davids-b Published as: Holgate, David; Holgate, D.; Holgate, D. B. External Links: MGP Documents Indexed: 27 Publications since 1996 Co-Authors: 10 Co-Authors with 18 Joint Publications 82 Co-Co-Authors all top 5 Co-Authors 8 single-authored 4 Sioen, Mark 3 Castellini, Gabriele 3 Iragi, Minani 3 Razafindrakoto, Ando 3 Šlapal, Josef 2 Brümmer, Guillaume C. L. 2 Giuli, Eraldo 2 Masuret, Jacques 1 Assfaw, Fikreyohans Solomon 1 Banaschewski, Bernhard all top 5 Serials 7 Topology and its Applications 7 Applied Categorical Structures 4 Quaestiones Mathematicae 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Acta Mathematica Hungarica 1 Commentationes Mathematicae Universitatis Carolinae 1 Hacettepe Journal of Mathematics and Statistics 1 Mathematics for Applications Fields 23 Category theory; homological algebra (18-XX) 23 General topology (54-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 66 times in 44 Documents Cited by ▼ Year ▼ Categorical neighborhood operators. Zbl 1232.54018Holgate, David; Šlapal, Josef 19 2011 Interior and neighbourhood. Zbl 1321.18005Razafindrakoto, Ando; Holgate, David 7 2014 A link between two connectedness notions. Zbl 1039.18001Castellini, G.; Holgate, D. 5 2003 Topogenous and nearness structures on categories. Zbl 1359.54003Holgate, David; Iragi, Minani; Razafindrakoto, Ando 5 2016 Some new characterizations of pointfree pseudocompactness. Zbl 1358.54019Banaschewski, Bernhard; Holgate, David; Sioen, Mark 5 2013 Direct reflections. Zbl 0976.18001Brümmer, G. C. L.; Giuli, E.; Holgate, D. B. 4 2000 Compactification and closure. Zbl 0991.18001Holgate, David 3 2000 Closure operator constructions depending on one parameter. Zbl 1048.18001Castellini, G.; Holgate, D. 3 2003 A generalisation of the functional approach to compactness. Zbl 1190.54007Holgate, David 3 2009 A lax approach to neighbourhood operators. Zbl 1370.18001Razafindrakoto, A.; Holgate, D. 2 2017 Linking the closure and orthogonality properties of perfect morphisms in a category. Zbl 0970.18002Holgate, D. 2 1998 Splitting closure operators. Zbl 1082.18003Brümmer, G. C. L.; Giuli, E.; Holgate, D. 2 2005 Quasi-uniform and syntopogenous structures on categories. Zbl 1420.18003Holgate, David; Iragi, Minani 1 2019 Pullback closure and strong functorial completions. Zbl 0986.18001Holgate, David 1 1999 The pullback closure operator and generalisations of perfectness. Zbl 0912.18001Holgate, David 1 1996 The pullback closure operator and generalisations of perfectness. Partially reprinted from the journal Applied Categorical Structures 4, No. 1 (1996). Zbl 0912.18002Holgate, David 1 1996 Connected and disconnected maps. Zbl 1228.18002Boxall, Gareth; Holgate, David 1 2011 On the Dini and Stone-Weierstrass properties in pointfree topology. Zbl 1338.06008Holgate, David; Masuret, Jacques; Sioen, Mark 1 2016 Quasi-uniform and syntopogenous structures on categories. Zbl 1420.18003Holgate, David; Iragi, Minani 1 2019 A lax approach to neighbourhood operators. Zbl 1370.18001Razafindrakoto, A.; Holgate, D. 2 2017 Topogenous and nearness structures on categories. Zbl 1359.54003Holgate, David; Iragi, Minani; Razafindrakoto, Ando 5 2016 On the Dini and Stone-Weierstrass properties in pointfree topology. Zbl 1338.06008Holgate, David; Masuret, Jacques; Sioen, Mark 1 2016 Interior and neighbourhood. Zbl 1321.18005Razafindrakoto, Ando; Holgate, David 7 2014 Some new characterizations of pointfree pseudocompactness. Zbl 1358.54019Banaschewski, Bernhard; Holgate, David; Sioen, Mark 5 2013 Categorical neighborhood operators. Zbl 1232.54018Holgate, David; Šlapal, Josef 19 2011 Connected and disconnected maps. Zbl 1228.18002Boxall, Gareth; Holgate, David 1 2011 A generalisation of the functional approach to compactness. Zbl 1190.54007Holgate, David 3 2009 Splitting closure operators. Zbl 1082.18003Brümmer, G. C. L.; Giuli, E.; Holgate, D. 2 2005 A link between two connectedness notions. Zbl 1039.18001Castellini, G.; Holgate, D. 5 2003 Closure operator constructions depending on one parameter. Zbl 1048.18001Castellini, G.; Holgate, D. 3 2003 Direct reflections. Zbl 0976.18001Brümmer, G. C. L.; Giuli, E.; Holgate, D. B. 4 2000 Compactification and closure. Zbl 0991.18001Holgate, David 3 2000 Pullback closure and strong functorial completions. Zbl 0986.18001Holgate, David 1 1999 Linking the closure and orthogonality properties of perfect morphisms in a category. Zbl 0970.18002Holgate, D. 2 1998 The pullback closure operator and generalisations of perfectness. Zbl 0912.18001Holgate, David 1 1996 The pullback closure operator and generalisations of perfectness. Partially reprinted from the journal Applied Categorical Structures 4, No. 1 (1996). Zbl 0912.18002Holgate, David 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 12 Holgate, David B. 6 Razafindrakoto, Ando 5 Castellini, Gabriele 4 Dikranjan, Dikran N. 4 Šlapal, Josef 3 Dube, Themba 3 Iragi, Minani 3 Künzi, Hans-Peter A. 3 Sioen, Mark 2 Brümmer, Guillaume C. L. 2 Gran, Marino 2 Lazaar, Sami 2 Masuret, Jacques 1 Abdallahi, Mohamed Oueld 1 Alderton, Ian W. 1 Assfaw, Fikreyohans Solomon 1 Cook, Derek S. 1 Duckerts-Antoine, Mathieu 1 Dydak, Jerzy 1 Echi, Othman 1 Even, Valérian 1 Ghosh, Partha Pratim 1 Hosseini, Seyed Naser 1 Ighedo, Oghenetega 1 Janelidze, George 1 Janelidze, Zurab 1 Manes, Ernie G. 1 Martin Peinador, Elena 1 Mugochi, Martin M. 1 Murcia, Edwin Gonzalo 1 Nacib, Saber 1 Naidoo, Inderasan 1 Nasirzadeh, Nahal 1 Shakhmatov, Dmitri B. 1 Shir Ali Nasab, Amir Reza 1 Tarieladze, Vasha I. 1 Tholen, Walter 1 Veldsman, Stefan 1 Weighill, Thomas 1 Weiss, Ittay 1 Yang, Taewon all top 5 Cited in 15 Serials 15 Topology and its Applications 12 Applied Categorical Structures 3 Quaestiones Mathematicae 2 Fuzzy Sets and Systems 2 Applied General Topology 1 Algebra Universalis 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Order 1 Theory and Applications of Categories 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics all top 5 Cited in 11 Fields 38 General topology (54-XX) 32 Category theory; homological algebra (18-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year