In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces...

Borel–Moore homology Cellular homology Cyclic homology Hochschild homology Floer homology Intersection homology K-homology Khovanov homology Morse homology Persistent...

In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 {\displaystyle n\geq 1} ...

solutions of holonomic D-modules. A key observation was that the intersection homology of Mark Goresky and Robert MacPherson could be described using sheaf...

singular varieties is provided by intersection homology. Namely, Morihiko Saito showed that the intersection homology of any complex projective variety...

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...

intersections induces an isomorphism C i M → C n − i M {\displaystyle C_{i}M\to C^{n-i}M} , where C i {\displaystyle C_{i}} is the cellular homology of...

Robert Mark Goresky is a Canadian mathematician who invented intersection homology with his advisor and life partner Robert MacPherson. Goresky received...

Kari Vilonen, and Zhiwei Yun. MacPherson and Goresky introduced intersection homology. He also worked on arithmetic groups, in particular on Siegel modular...

In mathematics, the intersection form of an oriented compact 4-manifold is a special symmetric bilinear form on the 2nd (co)homology group of the 4-manifold...