Weight properties in remainders and classes of spaces

Choban Mitrofan; Mihaylova Ekaterina

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Articolul urmator

616

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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

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<dc:creator>Cioban, M.M.</dc:creator>
<dc:creator>Mihaylova, E.</dc:creator>
<dc:date>2017-08-15</dc:date>
<dc:description xml:lang='en'><p>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&isin;A for any compactification bX of the paracompact p-space X. This fact contains a positive answer to one question of A.V. Arhangel&#39;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</p></dc:description>
<dc:identifier>10.1016/j.topol.2017.01.017</dc:identifier>
<dc:source>Topology and its Applications  (227) 51-58</dc:source>
<dc:subject>k-Base</dc:subject>
<dc:subject>P-space</dc:subject>
<dc:subject>paracompact p-space</dc:subject>
<dc:subject>remainder</dc:subject>
<dc:title>Weight properties in remainders and classes of spaces</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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