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Sequence-covering maps of metric spaces

✍ Scribed by Shou Lin; Pengfei Yan

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 121 KB
Volume: 109
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00163-7

No coin nor oath required. For personal study only.

✦ Synopsis

Let f : X → Y be a map. f is a sequence-covering map if whenever

In this paper we investigate the structure of sequence-covering images of metric spaces, the main results are that

(1) every sequence-covering, quotient and s-image of a locally separable metric space is a local ℵ 0 -space; (2) every sequence-covering and compact map of a metric space is a 1-sequence-covering map.

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