Manifolds with non-stable fundamental groups at infinity
نویسنده
چکیده
The notion of an open collar is generalized to that of a pseudo-collar. Important properties and examples are discussed. The main result gives conditions which guarantee the existence of a pseudo-collar structure on the end of an open n–manifold (n ≥ 7). This paper may be viewed as a generalization of Siebenmann’s famous collaring theorem to open manifolds with non-stable fundamental group systems at infinity. AMS Classification numbers Primary: 57N15, 57Q12 Secondary: 57R65, 57Q10
منابع مشابه
Manifolds with non - stable fundamental groups at infinity , II
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تاریخ انتشار 2000