منابع مشابه
Decomposability of Homotopy Lens Spaces and Free Cyclic Group Actions on Homotopy Spheres
Let p be a linear Zn action on C and let p also denote the induced Z„ action on S2p~l x D2q, D2p x S2q~l and S2p~l x S2q~l " 1m_1 where p = [m/2] and q = m — p. A free differentiable Zn action (£ , ju) on a homotopy sphere is p-decomposable if there is an equivariant diffeomorphism of (S2p~l x S2q~l, p) such that (S2m_1, ju) is equivalent to (£(*), ¿(*)) where S(*) = S2p_1 x D2q U^, D2p x S...
متن کاملCobordisms of Homotopy Lens Spaces
We show that any 3-dimensional homotopy lens space M that is simple-homotopy equivalent to a lens space L(p, q) is s-cobordal to this lens space. It follows that M has the same multi-signature as L(p, q) and the action of Z/pZ on the universal cover of M embeds in an orthogonal action on S. We study here 3-dimensional manifolds that have a finite cyclic fundamental group. All such manifolds are...
متن کاملCobordisms and Reidemeister torsions of homotopy lens spaces
We show that any 3–dimensional homotopy lens space M that is simplehomotopy equivalent to a lens space L(p, q) is topologically s-cobordant to the lens space. It follows that M has the same multi-signature as L(p, q) and the action of π1(M) on the universal cover of M embeds in a free orthogonal action on S . AMS Classification numbers Primary: 57M60, 57N70 Secondary: 57R65, 57R80
متن کاملHomotopy Decompositions of Spaces
0.1. Why Do We Want to Decompose a Space? Basically the goal of mathematics is to classify certain objects. For instance, we are able to classify 2-dimensional manifolds. Then we are trying to classify 3-manifolds while Poincaré conjecture sounds difficult to be solved. In homotopy theory, a general question is how to classify spaces (up to homotopy). The general idea for classifying spaces is:...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1973
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1973-13180-5