半加性泛函的空间何时是绝对(邻域)缩回?

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2022-09-10 DOI:10.15673/tmgc.v15i2.2020

A. Zaitov, K. Kurbanov

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引用次数: 0

摘要

本文证明了对于给定的紧Hausdorff空间X，如果超空间exp(X)是一个可缩紧空间，那么空间OSf(X)也是一个可缩紧空间。由此证明了半加性泛函的空间OSf(X)是绝对的(邻域)缩回当且仅当超空间exp(X)是如此。

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When is the space of semi-additive functionals an absolute (neighbourhood) retract?

In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space. As a consequence it is established that the space OSf(X) of semi-additive functionals is absolute (neighbourhood) retract if and only if the hyperspace exp(X) is so.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks