Lower Normal Topological Spaces and Lower Continuity
Mathematica Moravica, Tome 15 (2011) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we formulate a new structure of topological spaces which we call it lower normal spaces. This concept of spaces is directly and nature connection with the lower transversal continuous mappings on topological spaces. In this sense, we shall study spaces in which it is possible in the same way to separate two disjoint closed sets by a lower continuous real valued function. Applications in nonlinear functional analysis are considered. The concept of lower normal spaces is closely connected with the concept of normal topological spaces and the results of Alexandroff, Urysohn, Tietze, Lebesgue, Dieudonné, Tychonoff, Lefschetz, and Vietoris.
Mots-clés :
Topological Spaces, Lower Normal Spaces, Extension of One Lower Continuous Real-Valued Function, Lower Continuous Partitions of Unity
@article{MM3_2011_15_2_a10,
author = {Milan Taskovi\'c},
title = {Lower {Normal} {Topological} {Spaces} and {Lower} {Continuity}},
journal = {Mathematica Moravica},
pages = {73 - 86},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2011},
url = {https://geodesic-test.mathdoc.fr/item/MM3_2011_15_2_a10/}
}
Milan Tasković. Lower Normal Topological Spaces and Lower Continuity. Mathematica Moravica, Tome 15 (2011) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2011_15_2_a10/