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Generalization of a differentiable manifold
mathematics, a stratifold is a generalization of a differentiable manifold where certain kinds of singularities are allowed. More specifically a stratifold is stratified
Stratifold
Graduate-level textbooks in mathematics
Neu 2010 978-0-8218-4083-2 110 Differential Algebraic Topology: From Stratifolds to Exotic Spheres Matthias Kreck 2010 978-0-8218-4898-2 111 Ricci Flow
Graduate Studies in Mathematics
Graduate_Studies_in_Mathematics
German mathematician
cello. Kreck, Matthias (2010). Differential algebraic topology : from stratifolds to exotic spheres. Providence, R.I.: American Mathematical Society.
Matthias_Kreck
Way of decomposing a topological space
{\text{Spec}}(-)} is the prime spectrum. Singularity theory Whitney conditions Stratifold Intersection homology Thom's first isotopy lemma stratified space Goresky
Thom–Mather_stratified_space
Type of homology theory in algebraic topology
of A. Kreck, Matthias (2010), Differential Algebraic Topology: From Stratifolds to Exotic Spheres, Graduate Studies in Mathematics, vol. 110, American
Compactly_supported_homology
Branch of topology
{\displaystyle y} . One way to make this construction rigorous is to use stratifolds. Another case, where the homology of a space has a product, is the (based)
String_topology
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