April 8, :41 WSPC/INSTRUCTION FILE

Source URL: geometry.stanford.edu

• Topology
• Mathematics
• Homotopy theory
• Algebra
• Algebraic topology
• Homology theory
• Homotopy
• Retract
• Homology
• Betti number
• Contractible space
• Manifold

Finding the Homology of Submanifolds with High Confidence from Random Samples∗ P. Niyogi†, S. Smale‡, S. Weinberger§ March 15, 2006

Source URL: people.cs.uchicago.edu

• Topology
• Mathematics
• Algebra
• Homology theory
• Algebraic topology
• Differential topology
• Homology
• Topological space
• Betti number
• Submanifold
• Cohomology
• BorelMoore homology

Abstract Betti numbers are topological objects which were proved to be invariants by Poincar´e, and used by him to extend the polyhedral formula to higher dimensional spaces. Informally, the Betti number of a surface is

Source URL: math.ipm.ac.ir

Boij–S¨ oderberg theory and tensor complexes Christine Berkesch (joint work with Daniel Erman, Manoj Kummini, Steven V Sam) The conjectures of M. Boij and J. S¨oderberg [3], proven by D. Eisenbud and F.-O. Schreyer [

Source URL: www-users.math.umn.edu

• Homological algebra
• Binary operations
• David Eisenbud
• Homogeneous coordinate ring
• Betti number
• D-module
• Tensor
• Graduate Texts in Mathematics
• Abstract algebra
• Mathematics
• Algebra

Boij–S¨ oderberg theory and tensor complexes Christine Berkesch (joint work with Daniel Erman, Manoj Kummini, Steven V Sam) The conjectures of M. Boij and J. S¨oderberg [3], proven by D. Eisenbud and F.-O. Schreyer [

Source URL: www.math.umn.edu

• Homological algebra
• Binary operations
• David Eisenbud
• Homogeneous coordinate ring
• Betti number
• D-module
• Tensor
• Graduate Texts in Mathematics
• Abstract algebra
• Mathematics
• Algebra

Eurographics Symposium on Point-Based GraphicsM. Botsch, R. Pajarola (Editors) Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition Gurjeet Singh1 , Facundo Mémoli2 and Gu

Source URL: www.ayasdi.com

• General topology
• Topological spaces
• Homotopy theory
• Data analysis
• Abstract simplicial complex
• Cluster analysis
• Filter
• Simplicial complex
• Betti number
• Topology
• Mathematics
• Algebraic topology

CCCG 2011, Toronto ON, August 10—12, 2011 Robustness of topology of digital images and point clouds Peter Saveliev∗ Abstract

Source URL: www.cccg.ca

• Mathematics
• Homology theory
• Homological algebra
• Homotopy theory
• Homology
• Chain complex
• CW complex
• Betti number
• Simplicial homology
• Topology
• Abstract algebra
• Algebraic topology

CCCG 2011, Toronto ON, August 10—12, 2011 Robustness of topology of digital images and point clouds Peter Saveliev∗ Abstract

Source URL: 2011.cccg.ca

• Mathematics
• Homology theory
• Homological algebra
• Homotopy theory
• Homology
• Chain complex
• CW complex
• Betti number
• Simplicial homology
• Topology
• Abstract algebra
• Algebraic topology

Hyperbolic Geometry and Algebraic geometry, Seoul-Austin, Igor Dolgachev March 29, 2015 ii

Source URL: www.math.lsa.umich.edu

• Algebraic geometry
• Hodge theory
• Homological algebra
• Conjectures
• Quadratic forms
• Hodge structure
• Projective space
• Atiyah–Singer index theorem
• Betti number
• Abstract algebra
• Mathematics
• Geometry

Topology Preserving Graph Matching Jeffrey Byrne Department of Computer and Information Science University of Pennsylvania Philadelphia, PA 19104 {jebyrne}@cis.upenn.edu

Source URL: www.jeffreybyrne.com

• Algebraic topology
• Simplicial homology
• Simplex
• Triangulation
• Vietoris–Rips complex
• Betti number
• Simplicial complex
• Graph
• Homology
• Topology
• Mathematics
• Abstract algebra