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While I find this definition really adjusted to the MacPherson's original viewpoint, I think that in the last years there have raised some alternative approaches to stratified spaces. Between all them, I really like M. Pflaum's way which separates the "stratified" and "conical" features. So, as a
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comment to this article I would say that it is more a definition of stratified pseudomanifolds (and not so clear, therefore). Here there is a more accurate definition, at least in my opinion.
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Sorry, I can't provide a draft, but this would be very nice to have on this page. Maybe it's even better to start a new article, like "analytically stratified space". --
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between sets in the filtration. There is also a local conical condition; there must be an almost smooth atlas where locally each little
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The changes of charts or cocycles have no conditions in the MacPherson's original context. Pflaum asks them to be smooth, while in the
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is asked to be a stratified pseudomanifold. The logical problem is is avoided by an inductive trick which makes different the objects
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context they must preserve the above decomposition, they have to be smooth in the euclidean factor and preserve the conical radium.
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and so materials here should be merged into that article. I have already put pseudomanifold stuff into that article. —-
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are stratified spaces which locally behave almost like manifolds, that is, almost euclideally and a bit conically.
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on
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are nice topological spaces that can be decomposed in smooth well-behavioured pieces.
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mu-stratification and complex analytic stratification as in
Kashiwara-Schapira/Dimca
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also state conditions on the cocycles in order to preserve the conical radium.
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which can be decomposed in disjoint smooth pieces. This means that we give a
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whose elements are locally closed smooth manifolds, we call them
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Perverse sheaf: Abelian category, topologically stratified space
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Surhone, L. M., Tennoe, M. T., & Henssonow, S. F. (2010),
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323:In the MacPherson's
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372:To summarize;
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296:. Two strata
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344:Rx c(L)
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