Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3
L-paracompactness andL2-paracompactness
- Sayfa
- 779–784
- DOI
- —
Abstract
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.