Boundary preserving maps of $3$-manifolds
نویسندگان
چکیده
منابع مشابه
Boundary Preserving Maps of 3-manifolds
We prove an extension of Waldhausen's theorem [5] conjectured by Hempel in [3]. We prove the following extension of Waldhausen's theorem [5]: Theorem 1. Let M, N be P2-irreducible 3-manifolds. Suppose that M is compact, sufficiently large and f: (M, dM) -^ (N, dN) is a continuous map inducing an injection fM: trx(M)^>irx(N). Then, there is a proper homotopy f: (M, 3M) —» (N, dN) such that f0 = ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1980-0550516-x