Versions of Intersection and Local Homology

[1]  M. Pflaum Analytic and geometric study of stratified spaces , 2001 .

[2]  Herbert Edelsbrunner,et al.  Coarse and Reliable Geometric Alignment for Protein Docking , 2005, Pacific Symposium on Biocomputing.

[3]  M. Goresky,et al.  Stratified Morse theory , 1988 .

[4]  Mikhail Belkin,et al.  Laplacian Eigenmaps for Dimensionality Reduction and Data Representation , 2003, Neural Computation.

[5]  M. Goresky,et al.  INTERSECTION HOMOLOGY THEORY , 1980 .

[6]  Herbert Edelsbrunner,et al.  Extreme Elevation on a 2-Manifold , 2006, Discret. Comput. Geom..

[7]  Intersection homology and Poincaré duality on homotopically stratified spaces , 2007, math/0702087.

[8]  Markus Banagl Extending Intersection Homology Type Invariants to Non-Witt Spaces , 2002 .

[9]  Topological invariance of intersection homology without sheaves , 1985 .

[10]  Vin de Silva,et al.  On the Local Behavior of Spaces of Natural Images , 2007, International Journal of Computer Vision.

[11]  James R. Munkres,et al.  Elements of algebraic topology , 1984 .

[12]  David Cohen-Steiner,et al.  Inferring Local Homology from Sampled Stratified Spaces , 2007, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07).

[13]  Stratified fibrations and the intersection homology of the regular neighborhoods of bottom strata , 2003, math/0307254.

[14]  Colin Rourke,et al.  Homology stratifications and intersection homology , 1999, math/9911259.

[15]  David Cohen-Steiner,et al.  Vines and vineyards by updating persistence in linear time , 2006, SCG '06.

[16]  Herbert Edelsbrunner,et al.  Topological Persistence and Simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[17]  Vin de Silva,et al.  Coverage in sensor networks via persistent homology , 2007 .

[18]  N. Habegger,et al.  Intersection cohomology of cs-spaces and Zeeman's filtration , 1991 .

[19]  David Cohen-Steiner,et al.  Stability of Persistence Diagrams , 2007, Discret. Comput. Geom..

[20]  David Cohen-Steiner,et al.  Persistent homology for kernels, images, and cokernels , 2009, SODA.

[21]  Herbert Edelsbrunner,et al.  The union of balls and its dual shape , 1993, SCG '93.

[22]  Valerio Pascucci,et al.  Morse-smale complexes for piecewise linear 3-manifolds , 2003, SCG '03.

[23]  Frances Kirwan,et al.  An introduction to intersection homology theory. , 1988 .

[24]  M. Goresky,et al.  Intersection homology II , 1983 .

[25]  Herbert Edelsbrunner,et al.  Interface surfaces for protein-protein complexes , 2006, J. ACM.

[26]  Vin de Silva,et al.  Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology , 2006, Int. J. Robotics Res..