Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...
This is a preview. Log in through your library . Abstract For a Tychono space X, we denote by Ck(X) the space of all real-valued continuous functions on X with the compact-open topology. A subset A ⊂ ...
Algebraic topology and homotopy theory constitute central areas of contemporary mathematics, exploring spaces through algebraic invariants and continuous deformations. Techniques in this field ...
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