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Stable classification of infinite-dimensional manifolds by homotopy-type

✍ Scribed by David W. Henderson

Publisher: Springer-Verlag
Year: 1971
Tongue: English
Weight: 398 KB
Volume: 12
Category: Article
ISSN: 0020-9910
DOI: 10.1007/bf01389826

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We show that if A4 is a closed 4-manifold such that ~z(A4) ?Z Z and x(M) 6 0 then its homotopy type is determined up to a finite ambiguity by T = TI (M). We also show that (for given T) the action of T on TZ(M) and the orientation character WI(M) determine each other, and find strong constraints on