Fuzzy partitions of unity

Authors

  • Francisco Gallego Lupiáñez Departamento de Geometrí a y Topolgí a, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040–Madrid, Spain Author

Keywords:

Fuzzy topology, partition of unity, $r$-paracompact and $S$-paracompact fuzzy topological spaces, weak inducement, normality

Subjects:

54A40, 03E72

Abstract

In General Topology, there exist useful theorems on the existence of partitions of unity for paracompact regular spaces (and also for normal spaces). In this paper, we define the notion of fuzzy partition of unity and we obtain some results about this concept.

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Published

2004-04-15

Issue

Vol. 56 No. 1–2 (2004): Vol. 56, Issue 1–2

Section

Articles

License

Copyright (c) 2004 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.