Titlebook: Involutions on Manifolds; Santiago López de Medrano Book 1971 Springer-Verlag Berlin Heidelberg 1971 Invariant.Mannigfaltigkeit.homology.h

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Fluctuate

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https://doi.org/10.1007/978-3-642-65012-3Invariant; Mannigfaltigkeit; homology; homotopy; manifold; proof; theorem; topology

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NAIVE

The Browder-Livesay Invariants,We say that an involution (. .) of a homotopy sphere . . . if there is an embedded (smoothly or p.1., depending on the category we’re working on) homotopy sphere . . ⊂ . . which is invariant under .. We also say that (. .) is a . of (.|., . ) and that (.|. ., . . ) is a . of (. .). See also IV.3.2 and V.1.

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Combinatorial Classification of Involutions,We consider in this section the maps.which are, respectively, the double covering, the natural inclusion and the map of degree 1 (pinching the complement of an open ball to a point). . is the cofibre (mapping cone) of ., .is the cofibre of ., and the composition . . has degree 0 if . is even, degree 2 if . is odd.

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高度赞扬

Relations with Non-simply-connected Surgery Obstructions,transform . and . to obtain a manifold homotopy equivalent to .. To be able to apply the techniques of surgery one has to assume the existence of a stable bundle . over . and a bundle map .: . →. covering ., where v . is the stable normal bundle of .:

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