Some Topological Properties of Charming Spaces

Some Topological Properties of Charming Spaces

Year:    2017

Author:    Xiaoting Li, Fucai Lin, Shou Lin

Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 110–120

Abstract

In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spaces and give some characterizations of some class of charming spaces. Finally, we show that the Suslin number of an arbitrary charming rectifiable space is countable.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2017.02.02

Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 110–120

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    charming space ($i j$)-structured space Lindelöf Σ-space Suslin number rectifiable space

Author Details

Xiaoting Li

Fucai Lin

Shou Lin