منابع مشابه
On Normal Stratified Pseudomanifolds
Any pl-stratified pseudomanifod can be normalized preserving its intersection homology. In this paper we extend this result for any topological stratified pseudomanifold and for a family of perversities which is larger than usual. Our construction is functorial. We also give a detailed description of the normalizer’s stratification in terms of the initial stratified pseudomanifold.
متن کاملStratified and unstratified bordism of pseudomanifolds
We study bordism groups and bordism homology theories based on pseudomanifolds and stratified pseudomanifolds. The main seam of the paper demonstrates that when we uses classes of spaces determined by local link properties, the stratified and unstratified bordism theories are identical; this includes the known examples of pseudomanifold bordism theories, such as bordism of Witt spaces and IP sp...
متن کاملThe Gysin Sequence for S-actions on Stratified Pseudomanifolds
For any stratified pseudomanifold X and any action of the unit circle S on X preserving the stratification and the local structure; the orbit space X/S is also a stratified pseudomanifold. For each perversity q in X the orbit map π : X → X/S induces a Gysin sequence relating the q-intersection cohomologies of X and X/S. The third term of this sequence can be given by means of a spectral sequenc...
متن کاملLower Bounds for Cubical Pseudomanifolds
It is verified that the number of vertices in a d-dimensional cubical pseudomanifold is at least 2d+1. Using Adin’s cubical h-vector, it is established that the cubical Generalized Lower Bound Conjecture (GLBC) holds for all 4-spheres, as well as some special cases of the cubical GLBC in higher dimensions.
متن کامل-actions on Pseudomanifolds
For any smooth free action of the unit circle S in a manifold M ; the Gysin sequence of M is a long exact sequence relating the DeRham cohomologies of M and its orbit space M/S. If the action is not free then M/S is not a manifold but a stratified pseudomanifold and there is a Gysin sequence relating the DeRham cohomology of M with the intersection cohomology of M/S. In this work we extend the ...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2009
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2009.13.49