Results 21 to 30 of about 265 (56)
Function spaces and contractive extensions in Approach Theory: The role of regularity
, 2013 Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other, are extended to convergence-approach spaces ...
Colebunders, Eva +2 more
core +1 more source
An easily verifiable proof of the Brouwer fixed point theorem [PDF]
, 2011 We give a remarkably elementary proof of the Brouwer fixed point theorem.
Suzuki, Tomonari, Takeuchi, Yukio
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A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we prove that an n × n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected. For τ being an affine primal topology, we mean that τ=U⊂Rn:f−1U⊂U, where f:Rn⟶Rn is a map defined by f(x) = Ax + p, with p∈Rn.
Ebner Pineda +3 more
wiley +1 more source
Dendrites, Topological Graphs, and 2-Dominance [PDF]
, 2009 For each positive ordinal α, the reflexive and transitive binary relation of α-dominance between compacta was first defined in our paper [Mapping properties of co-existentially closed continua, Houston J.
Bankston, Paul
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New Continuity Concepts With Usual, Semi, and Semi‐ω‐Closure Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce new forms of continuity, namely, weakly θs‐continuity, weakly θsω‐continuity, almost θs‐continuity, and almost θsω‐continuity defined via closure operators. These concepts bridge the gap between classical and weak continuity and provide new insights into their relationships.
Kushal Singh, Asha Gupta, Pramita Mishra
wiley +1 more source
Multidimensional $C^0$ transversality [PDF]
, 2014 In 1994, Sakai introduced the property of $C^0$ transversality for two smooth curves in a two-dimensional manifold. This property was related to various shadowing properties of dynamical systems.
Petrov, Aleksey A., Pilyugin, Sergei Yu.
core
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X) [PDF]
, 2019 We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both topological and algebraical senses ...
Ayala Gómez, Rafael +3 more
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On collectionwise Hausdorff bitopological spaces [PDF]
, 2012 In this work, we introduce the concept of collectionwise Hausdorff bitopological spaces by using p1 -open sets. Further, we also study the relations of collection wise Hausdorff spaces with some separation axioms and paralindeloff bitopological ...
Bouseliana, Hend M., Kilicman, Adem
core
P-Sequential Spaces and Cleavability [PDF]
, 1998 ∗ Supported by the Serbian Scientific Foundation, grant No 04M01We consider some relations between p-sequential-like properties and cleavability of topological spaces.
Koinac, Ljubia
core
Localic maps constructed from open and closed parts [PDF]
, 2017 Assembling a localic map f:L→M from localic maps f_i:S_i→M, i∈J, defined on closed resp. open sublocales (J finite in the closed case) follows the same rules as in the classical case. The corresponding classical facts immediately follow from the behavior
Picado, Jorge, Pultr, Aleš
core +1 more source