He, Chan; Martini, Horst; Wu, Senlin Complete sets in normed linear spaces. (English) Zbl 1521.46008 Banach J. Math. Anal. 17, No. 3, Paper No. 45, 51 p. (2023). Reviewer: Clemente Zanco (Milano) MSC: 46B20 52A10 52A20 52A21 52A38 52A40 52B11 46-02 PDFBibTeX XMLCite \textit{C. He} et al., Banach J. Math. Anal. 17, No. 3, Paper No. 45, 51 p. (2023; Zbl 1521.46008) Full Text: DOI
Jahn, Thomas; Martini, Horst; Richter, Christian Ball convex bodies in Minkowski spaces. (English) Zbl 1378.46015 Pac. J. Math. 289, No. 2, 287-316 (2017). MSC: 46B20 52A01 52A20 52A21 52A35 PDFBibTeX XMLCite \textit{T. Jahn} et al., Pac. J. Math. 289, No. 2, 287--316 (2017; Zbl 1378.46015) Full Text: DOI arXiv
Craizer, Marcos; Martini, Horst Involutes of polygons of constant width in Minkowski planes. (English) Zbl 1354.52003 Ars Math. Contemp. 11, No. 1, 107-125 (2016). MSC: 52A10 52A21 53A15 53A40 51B20 PDFBibTeX XMLCite \textit{M. Craizer} and \textit{H. Martini}, Ars Math. Contemp. 11, No. 1, 107--125 (2016; Zbl 1354.52003) Full Text: DOI arXiv
Jahn, Thomas; Martini, Horst; Richter, Christian Bi- and multifocal curves and surfaces for gauges. (English) Zbl 1348.51006 J. Convex Anal. 23, No. 3, 733-774 (2016). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51M04 46B20 14H50 49J53 52A10 52A21 53A04 14H45 53A05 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Convex Anal. 23, No. 3, 733--774 (2016; Zbl 1348.51006) Full Text: Link
Lassak, Marek; Martini, Horst Reduced convex bodies in finite dimensional normed spaces: a survey. (English) Zbl 1310.52004 Result. Math. 66, No. 3-4, 405-426 (2014). MSC: 52A21 46B20 51M25 52A10 52A20 52A40 52B11 PDFBibTeX XMLCite \textit{M. Lassak} and \textit{H. Martini}, Result. Math. 66, No. 3--4, 405--426 (2014; Zbl 1310.52004) Full Text: DOI
Hansen, Guillermo; Martini, Horst Dispensable points, radial functions, and boundaries of starshaped sets. (English) Zbl 1340.52002 Acta Sci. Math. 80, No. 3-4, 689-699 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A07 52A20 52A30 PDFBibTeX XMLCite \textit{G. Hansen} and \textit{H. Martini}, Acta Sci. Math. 80, No. 3--4, 689--699 (2014; Zbl 1340.52002) Full Text: DOI
Martín, Pedro; Martini, Horst; Spirova, Margarita Chebyshev sets and ball operators. (English) Zbl 1303.41014 J. Convex Anal. 21, No. 3, 601-618 (2014). Reviewer: T. D. Narang (Amritsar) MSC: 41A50 41A63 46B20 52A21 PDFBibTeX XMLCite \textit{P. Martín} et al., J. Convex Anal. 21, No. 3, 601--618 (2014; Zbl 1303.41014) Full Text: Link
Martini, Horst; Papini, Pier Luigi; Spirova, Margarita Complete sets and completion of sets in Banach spaces. (English) Zbl 1311.46015 Monatsh. Math. 174, No. 4, 587-597 (2014). MSC: 46B20 46B99 52A05 52A20 52A21 PDFBibTeX XMLCite \textit{H. Martini} et al., Monatsh. Math. 174, No. 4, 587--597 (2014; Zbl 1311.46015) Full Text: DOI arXiv
Martini, Horst; Richter, Christian; Spirova, Margarita Intersections of balls and sets of constant width in finite-dimensional normed spaces. (English) Zbl 1278.52002 Mathematika 59, No. 2, 477-492 (2013). Reviewer: Erhard Heil (Darmstadt) MSC: 52A21 52A20 52A10 46B20 PDFBibTeX XMLCite \textit{H. Martini} et al., Mathematika 59, No. 2, 477--492 (2013; Zbl 1278.52002) Full Text: DOI
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J. Geometry where direction matters – or does it? (English) Zbl 1233.52005 Math. Intell. 33, No. 3, 115-125 (2011). Reviewer: Rolf Riesinger (Wien) MSC: 52A21 52-02 51-02 46B20 90B85 PDFBibTeX XMLCite \textit{H. Martini} et al., Math. Intell. 33, No. 3, 115--125 (2011; Zbl 1233.52005) Full Text: DOI
Lassak, Marek; Martini, Horst Reduced convex bodies in Euclidean space – a survey. (English) Zbl 1213.52006 Expo. Math. 29, No. 2, 204-219 (2011). MSC: 52A20 52A21 52A38 52A40 52B12 52B60 PDFBibTeX XMLCite \textit{M. Lassak} and \textit{H. Martini}, Expo. Math. 29, No. 2, 204--219 (2011; Zbl 1213.52006) Full Text: DOI
Hansen, Guillermo; Martini, Horst Starshapedness vs. convexity. (English) Zbl 1218.52004 Result. Math. 59, No. 1-2, 185-197 (2011). Reviewer: Paolo Dulio (Milano) MSC: 52A07 52A20 52A30 PDFBibTeX XMLCite \textit{G. Hansen} and \textit{H. Martini}, Result. Math. 59, No. 1--2, 185--197 (2011; Zbl 1218.52004) Full Text: DOI
Hansen, Guillermo; Martini, Horst On closed starshaped sets. (English) Zbl 1207.52006 J. Convex Anal. 17, No. 2, 659-671 (2010). Reviewer: Roland Bacher (St. Martin d’Hères) MSC: 52A30 52A01 PDFBibTeX XMLCite \textit{G. Hansen} and \textit{H. Martini}, J. Convex Anal. 17, No. 2, 659--671 (2010; Zbl 1207.52006) Full Text: Link
Martini, Horst; Swanepoel, Konrad J. Antinorms and Radon curves. (English) Zbl 1108.52005 Aequationes Math. 72, No. 1-2, 110-138 (2006). Reviewer: Johann Linhart (Salzburg) MSC: 52A21 52A10 52A38 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Aequationes Math. 72, No. 1--2, 110--138 (2006; Zbl 1108.52005) Full Text: DOI arXiv
Martini, Horst; Wenzel, Walter Symmetrization of closure operators and visibility. (English) Zbl 1099.06003 Ann. Comb. 9, No. 4, 431-450 (2005). Reviewer: James F. Lawrence (Fairfax) MSC: 06A15 52A05 05B35 06A06 PDFBibTeX XMLCite \textit{H. Martini} and \textit{W. Wenzel}, Ann. Comb. 9, No. 4, 431--450 (2005; Zbl 1099.06003) Full Text: DOI
Martini, H.; Soltan, V. Antipodality properties of finite sets in Euclidean space. (English) Zbl 1066.52010 Discrete Math. 290, No. 2-3, 221-228 (2005). MSC: 52A37 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Discrete Math. 290, No. 2--3, 221--228 (2005; Zbl 1066.52010) Full Text: DOI
Martini, H.; Swanepoel, K. J. Generalized convexity notions and combinatorial geometry. (English) Zbl 1051.52004 Congr. Numerantium 164, 65-93 (2003). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A21 52A35 52A01 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Congr. Numerantium 164, 65--93 (2003; Zbl 1051.52004)
Boltyanski, V.; Martini, H. Minkowski addition of \(H\)-convex sets and related Helly-type theorems. (English) Zbl 1049.52001 J. Comb. Theory, Ser. A 103, No. 2, 323-336 (2003). Reviewer: Xuanha Nguyen (Hanoi) MSC: 52A01 52A35 52A37 PDFBibTeX XMLCite \textit{V. Boltyanski} and \textit{H. Martini}, J. Comb. Theory, Ser. A 103, No. 2, 323--336 (2003; Zbl 1049.52001) Full Text: DOI
Martini, H.; Wenzel, W. Tetrahedra are not reduced. (English) Zbl 1018.52006 Appl. Math. Lett. 15, No. 7, 881-884 (2002). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 52B10 52A15 52A20 52B11 PDFBibTeX XMLCite \textit{H. Martini} and \textit{W. Wenzel}, Appl. Math. Lett. 15, No. 7, 881--884 (2002; Zbl 1018.52006) Full Text: DOI
Martini, H.; Schöbel, A. Median and center hyperplanes in Minkowski spaces – a unified approach. (English) Zbl 1010.51002 Discrete Math. 241, No. 1-3, 407-426 (2001). Reviewer: Johannes Böhm (Jena) MSC: 51B20 51M16 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Schöbel}, Discrete Math. 241, No. 1--3, 407--426 (2001; Zbl 1010.51002) Full Text: DOI
Martini, H.; Schöbel, A. Two characterizations of smooth norms. (English) Zbl 0952.52006 Geom. Dedicata 77, No. 2, 173-183 (1999). Reviewer: Serguey M.Pokas (Odessa) MSC: 52A21 90B85 52B55 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Schöbel}, Geom. Dedicata 77, No. 2, 173--183 (1999; Zbl 0952.52006) Full Text: DOI
Martini, Horst Kombinatorische Probleme bei der Parallelbeleuchtung von Eikörpern im \(E^ d(d\geq 2).(Combinatorical\) problems by parallel lighting of convex bodies in \(E^ d(d\geq 2))\). (German) Zbl 0591.52006 Geometrie und Kombinatorik, 2. Kolloq. Karl-Marx-Stadt/DDR 1983, Vortr. 1, 2, Teil I, 125-130 (1984). Reviewer: G.Sierksma MSC: 52A20 05A17 05A20 PDFBibTeX XML