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Extending continuous L-real-valued functions from arbitrary subspaces
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DOI：10.1016/S0165-0114(03)00132-5.png)
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摘要
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It is shown that every subspace of a completely normal and extremally disconnected L-topological space has the extension property for 0(L)-valued functions with L a meet-continuous lattice. To show this, we first characterize those spaces in terms of an insertion type theorem. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
unit L-interval
semicontinuous function
extremal disconnectedness
complete normality
insertion
extension
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论文数:
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