Definition
In algebraic topology, simplicial homology is the sequence of homology groups of a simplicial complex. It formalizes the idea of the number of holes of a given dimension in the complex. This generalizes the number of connected components.
Related concepts
Abstract simplicial complexAlgebraic topologyAmerican Mathematical SocietyBetti numberBrouwer fixed point theoremC++Cambridge University PressCellular homologyChain (algebraic topology)Chain complexChain mapConnected component (topology)Connected spaceData analysisData miningDiscrete & Computational GeometryEven permutationFree abelian groupFunctorGunnar CarlssonHomeomorphicHomological connectivityHomology groupsHomomorphismImage analysisJ.H.C. WhiteheadMATLABMachine learningManifoldMedical imagingOrientabilityPersistent homologyPyPIPython (programming language)Quotient groupRank of an abelian groupSimplicesSimplicial complexSimplicial homotopySimplicial mapSingular homologySpringer-VerlagTetrahedronTopological data analysisTopological spacesTriangulation (topology)Trivial groupVin de Silva
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