Category:Homology theory

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In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces.

Pages in category "Homology theory"

The following 37 pages are in this category, out of 37 total. Updates to this list can occasionally be delayed for a few days.

*

  • Homology (mathematics)
  • Homology theory

A

  • Acyclic space
  • Alexander-Spanier cohomology
  • Aspherical space

B

  • Borel-Moore homology

C

  • Cap product
  • Čech cohomology
  • Cellular homology
  • Chern-Simons form
  • Cocycle class
  • Cohomology

C cont.

  • Cohomology ring
  • Compactly-supported homology
  • Continuation map
  • Cup product

D

  • De Rham cohomology
  • Dolbeault cohomology

E

  • Eilenberg-Moore spectral sequence
  • Eilenberg-Steenrod axioms
  • Excision theorem

F

  • Floer homology

G

  • Gromov norm

H

  • Hodge conjecture
  • Homology sphere

H cont.

  • Hurewicz theorem

K

  • Khovanov homology
  • Kirby–Siebenmann class

M

  • Mayer–Vietoris sequence
  • Morse homology

P

  • Poincaré duality
  • Polar homology

R

  • Reduced homology
  • Relative contact homology
  • Relative homology

S

  • Simplicial homology
  • Singular homology
Categories: Algebraic topology | Homological algebra
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