Algebraic structure of the space of homotopy classes of cycles and singular homology

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dc.creatorDolotin, Valery
dc.date2003-01-06
dc.date.accessioned2026-07-07T04:54:17Z
dc.date.available2026-07-07T04:54:17Z
dc.descriptionDescribed the algebraic structure on the space of homotopy classes of cycles with marked topological flags of disks. This space is a non-commutative monoid, with an Abelian quotient corresponding to the group of singular homologies $H_k(M)$. For the marked flag contracted to a point the multiplication becomes commutative and the subgroup of spherical cycles corresponds to the usual homotopy group $π_k(M)$.
dc.description6 pages LaTeX, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0301043
dc.identifierhttp://arxiv.org/abs/math/0301043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66188
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.titleAlgebraic structure of the space of homotopy classes of cycles and singular homology
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