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On the M3 versus M1 problem

✍ Scribed by T. Mizokami; N. Shimane

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 110 KB
Volume: 105
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00032-2

No coin nor oath required. For personal study only.

✦ Synopsis

We introduce a technical property (P) and use it to show that every M 3 -space with (P) is an M 1space whose every closed subset has a closure-preserving open neighborhood base. We show that every k-M 3 -space has property (P) and is, therefore, an M 1 -space.

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