On Subspaces of Replete and Measure Replete Spaces
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 58-64
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The concepts of repleteness and more generally measure repleteness are investigated for set-theoretic lattices on specific subspaces of a lattice space. These general results are then applied to specific topological spaces, and we obtain as special cases some known theorems as well as some new results concerning for example, ∝-completeness, realcompactness, measure compactness and Borel-measure compactness.
Grassi, Peter. On Subspaces of Replete and Measure Replete Spaces. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 58-64. doi: 10.4153/CMB-1984-009-5
@article{10_4153_CMB_1984_009_5,
author = {Grassi, Peter},
title = {On {Subspaces} of {Replete} and {Measure} {Replete} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {58--64},
year = {1984},
volume = {27},
number = {1},
doi = {10.4153/CMB-1984-009-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-009-5/}
}
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