| Conţinutul numărului revistei |
| Articolul precedent |
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 SM ISO690:2012ARHANGELISKI, Alexandr, CHOBAN, Mitrofan. Dense subspaces and addition theorems for paracompactness. In: Topology and its Applications, 2015, vol. 185-186, pp. 23-32. ISSN 0166-8641. DOI: https://doi.org/10.1016/j.topol.2015.02.001 |
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  Topology and its Applications |
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| Volumul 185-186 / 2015 / ISSN 0166-8641 | ||||||
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| DOI:https://doi.org/10.1016/j.topol.2015.02.001 | ||||||
| Pag. 23-32 | ||||||
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We establish that if a normal space X is the union of a finite collection of dense paracompact subspaces, then X is paracompact (Theorem 2.1), and prove that if a space X is the union of a finite family of dense paracompact subspaces, then X is metacompact (Theorem 2.2). A new class of strongly metacompact spaces is introduced and applied. In particular, it behaves nicely under taking the union of a finite collection of dense subspaces. |
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| Cuvinte-cheie Dense subspace, Lindelöf, Metacompact, Para-Lindelöf, Paracompact space, primary, secondary, Souslin number, Strongly metacompact, Uniform base |
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