✦ LIBER ✦

Three topological structures of smooth topological spaces

✍ Scribed by Mustafa Demirci

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 360 KB
Volume: 101
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00117-6

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✦ Synopsis

Various concepts related to smooth topological spaces have been introduced, and relations among them studied by several authors [-2-6]. In this paper we introduce the notions of smooth, quasi-smooth and weak smooth structure, showing that various properties of a smooth topological space can be expressed in terms of these structures. In particular, the definitions and the results of [2-6] may be expressed in terms of the smooth and quasi-smooth structures. Then we will set out the fundamental concepts of these three structures and the relations between them.

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