By B. Banaschewski (auth.), Horst Herrlich, Gerhard Preuß (eds.)
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Additional resources for Categorical Topology: Proceedings of the International Conference, Berlin, August 27th to September 2nd, 1978
M a t h . Soc. 134 (1968) 1 1 7 - 1 3 2 . Tsai , On E-compact spaces and generalizations of perfect mappings , P a c . J . M a t h . 46 (1973) 2 7 5 - 2 8 2 . [ 16] P . Z e n o r , A n o t e on Z - m a p p i n g s a n d W Z - m a p p i n g s A m e r . M a t h . Soc. 23 (1969) 2 7 3 - 2 7 5 . Harald Freie Brandenburg Universit~t Institut fur H~ttenweg 9 D 10OO BERLIN Berlin Mathematik 33 I R~ume ,Math. Zeitschrift subcategories on E-compact Zusammenhang 96 of t o p o l o g i c a l spaces I , Monatshefte , Acta.
1 for n i c e and a metrizable Ind X = I. T h e r e f o r e normal even is a d e q u a t e of X h a s zero-dimen- Therefore only the for para- A. in a m o r e A as a s p e c i a l general case. question Consider an a r b i t r a - 25 ry n o n e m p t y called c l a s s E of T 1 - s p a c e s . E-normal if e v e r y can be s e p a r a t e d If E has X belongs intersection 2. for d e f i n i t i o n s PROBLEM B ty. 1 spaces properX , which interesting characteri- In p a r t i c u l a r we o b t a i n a E denotes A subset are subset results an a r b i t r a r y a continuous A topological nonempty B of a t o p o l o g i c a l C c Y such subsets mapping that class space f:X f-1[C] X is >Y , = B.
A n d its A p p l . , B e o g r a d (1977). Broughan , I n v a r i a n t s for R e a l - G e n e r a t e d Uniform Topological and Algebraic Categories , L e c t . N o t e s in M a t h . 491 , S p r i n g e r V e r l a g , B e r l i n - H e i d e l b e r g - N e w York (1975).  G. C r e e d e Concerning M a t h . 32 (~970) 4 7 - 5 4 . Davis , I n d e x e d s y s t e m s of n e i g h b o r h o o d s for t o p o l o g i c a l s p a c e s , A m e r . M a t h . Frollk , Applications f u n c t i o n s to the t h e o r y (86) (1961) 1 1 5 - 1 3 2 .