Original Articles

UNIFORM VIETORIS-BEGLE THEOREMS

Published in: Quaestiones Mathematicae
Volume 21 , issue 1-2 , 1998 , pages: 39–47

DOI: 10.1080/16073606.1998.9632024

Author(s): Takahisa Miyata Department of Computer Science, Japan

Keywords: 54E15 , 55N55

Abstract

In this paper we generalize the well-known Vietoris-Begle theorem to uniform spaces. We formulate two uniform versions: one for the Čech cohomology based on all finite uniform coverings and one for the Čech cohomology based on all uniform coverings.

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