Some Types of Relative Paracompactness
Mathematica Moravica, Tome 7 (2003) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
This paper is a continuation, of the study of relative topological properties. We use a characterization of paracompactness via a certain selection principle to introduce five types of relative paracompactness provide examples showing that none of them coincide with each other and establish some results concerning finite unions of subspaces which are relatively paracompact in one or another of the defined senses.
Mots-clés :
Locally finite family, point finite family, open cover, relative paracompactness, $\mathsf{S}(\mathcal{O}, \mathcal{O})_{lf}$, $\mathsf{S}(\mathcal{O};\mathcal{O})_{pƒ}$
@article{MM3_2003_7_1_a5, author = {Vladimir Pavlovi\'c}, title = {Some {Types} of {Relative} {Paracompactness}}, journal = {Mathematica Moravica}, pages = {33 - 42}, publisher = {mathdoc}, volume = {7}, number = {1}, year = {2003}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2003_7_1_a5/} }
Vladimir Pavlović. Some Types of Relative Paracompactness. Mathematica Moravica, Tome 7 (2003) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2003_7_1_a5/