enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Algebraic topology - Wikipedia

    en.wikipedia.org/wiki/Algebraic_topology

    Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological ...

  3. Higher category theory - Wikipedia

    en.wikipedia.org/wiki/Higher_category_theory

    Higher category theory is often applied in algebraic topology ... An example in topology is the composition of paths, ... ISBN 978-0-691-14048-3. ...

  4. Universal coefficient theorem - Wikipedia

    en.wikipedia.org/wiki/Universal_coefficient_theorem

    Allen Hatcher, Algebraic Topology, Cambridge University Press, Cambridge, 2002. ISBN 0-521-79540-0. A modern, geometrically flavored introduction to algebraic topology. The book is available free in PDF and PostScript formats on the author's homepage. Kainen, P. C. (1971). "Weak Adjoint Functors". Mathematische Zeitschrift. 122: 1–9.

  5. Higher-dimensional algebra - Wikipedia

    en.wikipedia.org/wiki/Higher-dimensional_algebra

    It has applications in nonabelian algebraic topology, ... as for example in the case of a gauge theory, ... ISBN 978-3-03719-083-8. ...

  6. Characteristic class - Wikipedia

    en.wikipedia.org/wiki/Characteristic_class

    ISBN 0-387-90422-0. ISBN 3-540-90422-0. The appendix of this book: "Geometry of characteristic classes" is a very neat and profound introduction to the development of the ideas of characteristic classes. Hatcher, Allen, Vector bundles & K-theory; Husemoller, Dale (1966). Fibre bundles (3rd Edition, Springer 1993 ed.). McGraw Hill. ISBN 0387940871.

  7. Topological pair - Wikipedia

    en.wikipedia.org/wiki/Topological_pair

    In mathematics, more specifically algebraic topology, a pair (,) is shorthand for an inclusion of topological spaces:.Sometimes is assumed to be a cofibration.A morphism from (,) to (′, ′) is given by two maps : ′ and : ′ such that ′ =.

  8. List of algebraic topology topics - Wikipedia

    en.wikipedia.org/wiki/List_of_algebraic_topology...

    Chain (algebraic topology) Betti number; Euler characteristic. Genus; Riemann–Hurwitz formula; Singular homology; Cellular homology; Relative homology; Mayer–Vietoris sequence; Excision theorem; Universal coefficient theorem; Cohomology. List of cohomology theories; Cocycle class; Cup product; Cohomology ring; De Rham cohomology; Čech ...

  9. Real projective space - Wikipedia

    en.wikipedia.org/wiki/Real_projective_space

    Topology and geometry, Graduate Texts in Mathematics, Springer Verlag 1993, 1996; Davis, Donald. "Table of immersions and embeddings of real projective spaces" Hatcher, Allen (2001). Algebraic Topology. Cambridge University Press. ISBN 978-0-521-79160-1