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- W1569085814 abstract "With hindsight, one can say that homology theory began with the Descartes-Euler polyhedron formula (1.3.8). It took a further step with Riemann’s definition of the connectivity of a surface, and the generalization to higherdimensional connectivities by Betti 1871. All these results have to do with the computation of numerical invariants of a manifold by means of decomposition into “cells”; the computations involve only the numbers of cells and the incidence relations between them, and it is shown that certain numbers are independent of the particular cellular subdivision chosen.KeywordsAbelian GroupHomology GroupBetti NumberFinite OrderStructure TheoremThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W1569085814 date "1980-01-01" @default.
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- W1569085814 title "Homology Theory and Abelianization" @default.
- W1569085814 doi "https://doi.org/10.1007/978-1-4684-0110-3_6" @default.
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