Izvorni znanstveni članak
CONTINUITY OF THE TYCHONOFF FUNCTOR τ
Ivan Lončar
; Faculty of Organization and Informatics, University of Zagreb, Varaždin, Croatia
Sažetak
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
Ključne riječi
functor; inverse system; continuity; w-compact; τ-compact
Hrčak ID:
80060
URI
Datum izdavanja:
14.12.1990.
Posjeta: 965 *