| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5777883 | Topology and its Applications | 2017 | 8 Pages |
Abstract
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 bXâXâA 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 Äech-complete space X the above result is not true. Any space with a point-countable k-base is a space from the class A.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Mitrofan Choban, Ekaterina Mihaylova,