Results about P-Normality
A topological space X is called P-normal if there exist a normal space Y and a bijective function f : X −→ Y such that the restriction f|A: A −→ f(A) is a homeomorphism for each paracompact subspace A ⊆ X. In this paper we present some new results on P-normality. Westudy the invariance and inverse i...
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| Published in: | European journal of pure and applied mathematics Vol. 15; no. 2; pp. 774 - 783 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
30-04-2022
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| Online Access: | Get full text |
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| Summary: | A topological space X is called P-normal if there exist a normal space Y and a bijective function f : X −→ Y such that the restriction f|A: A −→ f(A) is a homeomorphism for each paracompact subspace A ⊆ X. In this paper we present some new results on P-normality. Westudy the invariance and inverse invariance of P-normality as a topological property. We also investigate the Alexandroff Duplicate of a P-normal space, the closed extension of a P-normal space, the discrete extension of a P-normal space and the Dowker topological space. Furthermore, we introduce a new property related to P-normality which we call strong P-normality. |
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| ISSN: | 1307-5543 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v15i2.4387 |