Results 21 to 30 of about 248 (38)
Perfect maps in compact (countably compact) spaces
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 773-776, 1995., 1993 In this paper, among other results, characterizations of perfect maps in compact Hausdorff(Fréchet, countably compact, Hausdorff) spaces are obtained.
G. L. Garg, Asha Goel
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 615-619, 1985., 1985 In this paper we define a topological space X to be θ‐regular if every filterbase in X with a nonempty θ‐adherence has a nonempty adherence. It is shown that the class of θ‐regular topological spaces includes rim‐compact topological spaces and that θ‐regular H(i) (Hausdorff) topological spaces are compact (regular).
Dragan S. Janković
wiley +1 more source
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
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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
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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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
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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An Elementary Proof of The 2-Dimensional Version of The Brouwer Fixed Point Theorem [PDF]
, 2014 We give an elementary proof of the 2-dimensional version of the Brouwer fixed point theorem. The proof can be extended to the n-dimensional version naturally.
Suzuki Tomonari, Takeuchi Yukio
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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
core
Mapping Properties of Co-existentially Closed Continua [PDF]
, 2005 A continuous surjection between compacta is called co-existential if it is the second of two maps whose composition is a standard ultracopower projection.
Bankston, Paul
core +1 more source