Vietoris-Begle theorems for nonclosed maps

Jarosław Mederski

Abstract


In the paper we provide generalizations of the classical Vietoris-Begle mapping theorem for not necessarily closed maps with respect to the Alexander-Spanier cohomology on paracompact space.

Keywords


Vietoris-Begle theorem; set-valued maps; fiberwise topology; taut cohomology theory

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