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McCrory, Clint; Parusiński, Adam

Real intersection homology. (English) Zbl 1423.14335

Topology Appl. 234, 108-129 (2018).
Summary: We present a definition of intersection homology for real algebraic varieties that is analogous to Goresky and MacPherson’s original definition of intersection homology for complex varieties.

Cited in 1 Review
Cited in 4 Documents

MSC:

14P25 Topology of real algebraic varieties
14F43 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
55N33 Intersection homology and cohomology in algebraic topology
57N80 Stratifications in topological manifolds

Keywords:

real algebraic variety; intersection homology; arc-symmetric set; Nash approximation; stratification; small resolution; general position
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References:

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