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arxiv: 1903.05934 · v1 · pith:BOGRHZQ5new · submitted 2019-03-14 · 🧮 math.AT

Lefschetz Complexes as Finite Topological Spaces

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keywords chaincomplexfinitehomologyspacetopologicalbasiscomplexes
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We consider a fixed basis of a finitely generated free chain complex as a finite topological space and we present a sufficient condition for the singular homology of this space to be isomorphic with the homology of the chain complex.

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