Weight properties in remainders and classes of spaces

Autor:	Ekaterina Mihaylova, Mitrofan M. Choban
Rok vydání:	2017
Předmět:	010101 applied mathematics Discrete mathematics 010102 general mathematics Mathematics::General Topology Geometry and Topology Compactification (mathematics) Paracompact space 0101 mathematics Remainder 01 natural sciences Subspace topology Mathematics
Zdroj:	Topology and its Applications. 227:51-58
ISSN:	0166-8641
DOI:	10.1016/j.topol.2017.01.017
Popis:	A space X belongs to the class A if for any closed subspace Y of X the network weight n w ( Y ) is equal to the weight w ( Y ) of Y . One of the main results of the present article affirms that b X ∖ X ∈ A for any compactification bX of the paracompact p -space X . This fact contains a positive answer to one question of A.V. Arhangel'skii and A. Bella. For any Cech-complete space X the above result is not true. Any space with a point-countable k -base is a space from the class A .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e9d46f4b6b9e0fc77acb03e158daff63 https://doi.org/10.1016/j.topol.2017.01.017 Zobrazit plný text záznamu Full Text from ScienceDirect