Download Algebraic Topology Göttingen 1984: Proceedings of a by C. Allday, V. Puppe (auth.), Larry Smith (eds.) PDF

By C. Allday, V. Puppe (auth.), Larry Smith (eds.)

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Additional resources for Algebraic Topology Göttingen 1984: Proceedings of a Conference held in Göttingen, Nov. 9–15, 1984

Example text

U on V w i t h element associated to o n V are Thus the e l e m e n t F(V*) the b o u n d a r y U elements U. 3) simply groups abelian and finitely generated, otherwise U: H 2 x H 2 intersection > H4 : ~ form. 2). i) : b4(1) Now is h i g h l y , : free Hi(x,~) sequence spaces forms. 6) SBF-space X, that is (H*X,U) ~ (V, U). Moreoper, for SBF-spacen X,Y each map ~: (H*Y,U) ----~(H*X,U) F: X We d e r i v e in ,gI~F'is r e a ~ z a b l e by a ma N ~ Y ~aith H*I' = ~. from this I-i c o r r e s p o n d e d result that the to the h o m o t o p y equivalence types classes of S B F - s p a c e s .

6). identify b : b which v generated as t h e intersection in the h o m o t o p y the h o m o t o p y type free group. U: V @ V A map abelian > ~ which f: (V,U) We f o r m s of theory of of s u c h a m a n i f o l d which if f o an i s o m e t r y . A symmetric is b i l i n e a r ~ (w,U) of h o m o m o r p h i s m s . 1). u p to the g r o u p form. 1) which we denote and is a p a i r satisfies by SBF. I. 1) f (vUw) o We s a y = preserving b e the g r o u p of SBF. Here the in fact, form a category V* = H o m ( V , ~ ) F(V*) are i n t e r e s t e d - wOv.

Chang SC Chin A n n of Math 3(4):515-428 (1965) S u c c e s s i v e h o m o l o g y operations and their applications. Cahiers de Top. et G e o m Diff Vol VIII:I-5 9. C h o w S-K (1964) C o h o m o l o g y o p e r a t i o n s and h o m o t o p y type II. Scienta Sinica Vol XIII 7 : 1 0 3 3 - 1 0 4 3 10. Dold A, T h o m R (1958) Q u a s i f a s e r u n g e n und u n e n d l i c h e s y m m e t r i s c h e Produkte. Ann of Math 67:239-281 ii. F r e e d m a n MH (1982) The topology of four d i m e n s i o n a l manifolds.

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