Weight properties in remainders and classes of spaces
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CHOBAN, Mitrofan, MIHAYLOVA, Ekaterina. Weight properties in remainders and classes of spaces. In: Topology and its Applications, 2017, nr. 227, pp. 51-58. ISSN 0166-8641. DOI: https://doi.org/10.1016/j.topol.2017.01.017
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Topology and its Applications
Numărul 227 / 2017 / ISSN 0166-8641

Weight properties in remainders and classes of spaces

DOI:https://doi.org/10.1016/j.topol.2017.01.017

Pag. 51-58

Choban Mitrofan1, Mihaylova Ekaterina2
 
1 Tiraspol State University,
2 University of Architecture, Civil Engineering and Geodesy
 
 
Disponibil în IBN: 13 februarie 2018


Rezumat

A space X belongs to the class A if for any closed subspace Y of X the network weight nw(Y) is equal to the weight w(Y) of Y. One of the main results of the present article affirms that bX∖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 Čech-complete space X the above result is not true. Any space with a point-countable k-base is a space from the class

Cuvinte-cheie
k-Base,

P-space, paracompact p-space, remainder