Results 21 to 30 of about 244 (38)
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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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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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.
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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
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A survey on sigma-products [PDF]
, 1995 Depto. de Álgebra, Geometría y TopologíaFac.
Lupianez, Francisco Gallego
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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
, 1998 ∗ Financial support of the Grant Agency of the Czech Republic under the grant no 201/96/0119 and of the Grant Agency of the Charles University under the grant GAUK 149 is gratefully acknowledged.Co-connected spaces, i.e.
Trnková, Vera
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