✦ LIBER ✦

K-networks, and spaces having the weak topology with respect to closed covers of metric subspaces

✍ Scribed by Yoshio Tanaka

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 870 KB
Volume: 82
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00045-x

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✦ Synopsis

Let X be a space, and C be a closed cover of X consisting of metric subsets. Let X have the weak topology with respect to C in the sense of K. Morita. In terms of k-networks, we give some topological properties on X by means of the covering properties associated with the cover C.