Glasnik matematički, Vol. 33 No. 1, 1998.
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
Publication date:
1.6.1998.
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