L-paracompactness andL2-paracompactness
L-paracompactness andL2-paracompactness
A topological spaceXis calledL-paracompactif there exist a paracompact spaceYand abijective functionf:X−→Ysuch that the restrictionfA:A−→f(A)is a homeomor-phism for each Lindelöf subspaceA⊆X. A topological spaceXis calledL2-paracompactif there exist a Hausdorff paracompact spaceYand a bijective functionf:X−→Ysuchthat the restrictionfA:A−→f(A)is a homeomorphism for each Lindelöf subspaceA⊆X. We investigate these two properties.
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