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13 p, 173.4 KB Selections generating new topologies / Gutev, Valentin (University of KwaZulu-Natal (Durban, Sud-àfrica). School of Mathematical Sciences) ; Tomita, Artur (Universidade de São Paulo. Instituto de Matemática e Estatística)
Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an interval-like topology on X. In the present paper, we demonstrate that, for a second-countable zerodimensional space X, this topology may fail to be first-countable at some (or, even any) point of X. [...]
2007 - 10.5565/PUBLMAT_51107_01
Publicacions matemàtiques, V. 51 n. 1 (2007) p. 3-15  

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