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Diff — Homology (mathematics)

Revision #819 → #1303 · back to history

addedChain complexb6f1acc3a4ed
addedGroup of cyclesbc6754603f38
addedGroup of boundariesa78a0a5565bb
addedHomology group of a chain complex661947c669bd
addedHomology theorycae62c57c7a5
addedHomology theory as a functor6570c98ad817
addedHomology of a topological space6e4c40465d5d
addedBoundary in a chain complex8be3b31485f1
addedCycle in a chain complexb5391a0a0097
addedHomology groups of a topological space025043d317df
addedHomology of the circle711a6ebedce9
addedHomology of the 2-sphere9ec3c37db85d
addedHomology of the n-spherea2517b9ecead
addedHomology of the 2-balld89acb5e361b
addedHomology of the torusfe5b9592a075
addedHomology of the n-torus25a5c0b93a44
addedHomology of the projective plane39e49e26aee4
addedChain complex (general construction)99a19558b2ab
addedBoundaries and cycles65b0dfdac261
addedn-th homology groupfa2a9dd2fea0
addedExact chain complexb50dd6c0007f
addedReduced homology groups89ce43f45355
addedSimplicial homology groupsbe8052daa190
addedSingular homology groups4246466b6718
addedCohomology groups62b0a82d9ef6
addedHomotopy groupbf9b094f4b51
addedHurewicz theoremfec5e655da4e
addedFigure eight homotopy vs homology72e49a4baa30
addedSimplicial homology construction27a4ba824b63
addedSingular homology construction6d4ec856c5ee
addedGroup homology / derived functors46fb98246bfa
addedMorphism of chain complexesfd86c28e8988
addedHomology as covariant functor of objects156f957965e0
addedCohomology as contravariant functorbf8423dd81f9
addedEuler characteristic2ae149aa4856
addedEuler characteristic from homology76bbf9b690fb
addedLong exact sequence from short exact sequencef090fc88bf1e
addedBrouwer fixed point theorem6baf3fc61517
addedInvariance of domain42f37440fcb6
addedHairy ball theoremcee6a734126c
addedBorsuk–Ulam theorem9c4caf49e8cf
addedInvariance of dimension1136aac421c9
addedJordan curve theorem (shrinking curves on sphere)da84c8a54c0f
addedKlein bottled795390740a7
addedProjective plane surfaceb2c24655bec8
addedClosed surfaces from polygon gluing385169ebb5e5
addedClassification via connected sum071552241b54