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Pseudomanifold
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Pseudomanifold : ウィキペディア英語版
Pseudomanifold
A pseudomanifold is a special type of topological space.
It looks like a manifold at most of the points, but may contain singularities.
For example, the cone of solutions of z^2=x^2+y^2 forms a pseudomanifold.
A pseudomanifold can be regarded as a combinatorial realisation of the general idea of a manifold with singularities.
The concepts of orientability, orientation and degree of a mapping make sense for pseudomanifolds and moreover, within the combinatorial approach, pseudomanifolds form the natural domain of definition for these concepts.
== Definition ==

A topological space ''X'' endowed with a triangulation ''K'' is an ''n''-dimensional pseudomanifold if the following conditions hold:
# (''pure'') is the union of all ''n''-simplices.
# Every is a face of exactly two ''n''-simplices for ''n > 1''.
# For every pair of ''n''-simplices σ and σ' in ''K'', there is a sequence of ''n''-simplices such that the intersection is an for all ''i''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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