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Stratification (mathematics)
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==In topology== {{main|Stratified space}} In [[singularity theory]], there is a different meaning, of a decomposition of a [[topological space]] ''X'' into disjoint subsets each of which is a [[topological manifold]] (so that in particular a ''stratification'' defines a [[partition of a set|partition]] of the topological space). This is not a useful notion when unrestricted; but when the various '''strata''' are defined by some recognisable set of conditions (for example being [[locally closed]]), and fit together manageably, this idea is often applied in geometry. [[Hassler Whitney]] and [[RenΓ© Thom]] first defined formal conditions for stratification. See [[Whitney stratification]] and [[topologically stratified space]].
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