Original scientific paper

CONTINUITY OF THE TYCHONOFF FUNCTOR τ

Ivan Lončar ; Faculty of Organization and Informatics, University of Zagreb, Varaždin, Croatia

Abstract

Let C be a class of the inverse systems X = {Xλ, fαβ,A}. We say that a functor F is C-continuous if F(limX) is homeomorphic with lim F(X). In the present paper the continuity of Tychonoff functor τ is investigated. Section Two contains some theorems concerning the non-emptyness and w-compactness of the limit of inverse systems of w-compact spaces. Section Three is the main section. Some theorems concering C-continuity of the Tychonoff functor τ are proved, where C is a class of the inverse systems of w-compact, τ-compact, H-closed or R-clased spaces. Mathematics subjectclassification (1980): Primary 54H25, Secondary 46H40

Keywords

functor; inverse system; continuity; w-compact; τ-compact

Hrčak ID:

80060

URI

https://hrcak.srce.hr/80060

Publication date:

14.12.1990.

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