Results 11 to 20 of about 44 (44)
Connectivity with respect to α-discrete closure operators
Open Mathematics, 2022 We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
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Veterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021 Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori +5 more
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Path-induced closure operators on graphs for defining digital Jordan surfaces
Open Mathematics, 2019 Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
Šlapal Josef
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Galois connections between sets of paths and closure operators in simple graphs
Open Mathematics, 2018 For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
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Cut points in abcohesive, aposyndetic, and semi‐locally connected spaces
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 12, Page 717-725, 2002., 2002 In 1941, F. B. Jones introduced aposyndesis, which generalizes the concept of semi‐local connectedness defined earlier by G. T. Whyburn (1942), in the study of continuum theory. Using Jones′s idea, D. A. John (1993) defined abcohesiveness as a generalization of aposyndesis and studied the A‐sets in abcohesive spaces.
David A. John, Shing S. So
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Locally n-Connected Compacta and UVn-Maps
Analysis and Geometry in Metric Spaces, 2015 We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
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Nonempty intersection theorems minimax theorems with applications in generalized interval spaces
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 111-125, 2001., 2001 We establish some new topological types of nonempty intersection theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained.
Da-Cheng Wang
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Two countable, biconnected, not widely connected Hausdroff spaces
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 251-258, 1999., 1999 We construct two countable, biconnected spaces, not widely connected, not having a dispersion point, and not being strongly connected. The first is Hausdorff and the second is Urysohn and almost regular.
V. Tzannes
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New existence of equilibria via connectedness
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 315-319, 1998., 1996 The purpose of this paper is to prove a new topological fixed point theorem by using the connectedness property, and next existence of equilibria in generalized games are established as applications.
Sung Mo Im, Dong Il Rim, Won Kyu Kim
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International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 459-462, 1998., 1996 We prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff space, to a countable connected Hausdorff space in which the intersection of every pair of connected ...
V. Tzannes
wiley +1 more source