Original scientific paper

Extending open families in nonmetric spaces and an application to overlays

Tadeusz Dobrowolski
Rolando Jimenez
Witold Marciszewski

Abstract

We show that a family U of open subsets of a subset X of a hereditarily normal paracompact space P which is locally finite in P admits a locally finite open extension V in P which is similar to U. We apply this fact to prove an extension theorem for overlays over hereditarily paracompact spaces.

Keywords

Hereditarily normal space; hereditarily paracompact space; similar families; overlay

Hrčak ID:

8177

URI

https://hrcak.srce.hr/8177

Publication date:

1.6.1998.

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