Paracompactness in perfectly normal, locally connected, locally compact spaces

Diane J. Lane

doi:10.1090/s0002-9939-1980-0587957-0

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Paracompactness in perfectly normal, locally connected, locally compact spaces

Diane J. Lane

Year: 1980 Journal: Proceedings of the American Mathematical Society Vol: 80 (4)Pages: 693-696 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-1980-0587957-0

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Abstract

It is shown that, under ( MA + ¬ CH ) ({\text {MA}} + \neg {\text {CH}}) , every perfectly normal, locally compact and locally connected space is paracompact.

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Advanced Topology and Set Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Paracompactness in perfectly normal, locally connected, locally compact spaces

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