Topologies on Product and Coproduct Frölicher Spaces-Reference-Cited by-同舟云学术

Topologies on Product and Coproduct Frölicher Spaces

Published:2014-12-01 Issue:4 Volume:47 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
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Author:

Batubenge T. A.,Tshilombo M. H.

Abstract

AbstractIn this paper, the topologies underlying a product Frölicher space and a coproduct Frölicher space are defined and compared. It is shown that the product topology, which is equal to the one induced by structure functions, is the weakest one in which all projections are continuous. On the other hand, it is proved that the three topologies arising from the coproduct structure are equal.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.2478/dema-2014-0081/pdf

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