JOURNAL ARTICLE
Homotopy type through homology groups
Andrés Carnero BravoOmar Antolín Camarena
Year: 2024 Journal: Boletín de la Sociedad Matemática Mexicana Vol: 30 (2) Publisher: Birkhäuser
Abstract
Abstract We show that for certain pairs of nonnegative integers, if the reduced integral homology groups of a space are nonzero only in that pair of degrees and those groups are finitely generated free abelian groups, then the space must have the weak homotopy type of a wedge of spheres of whose dimensions belong to the pair.
Keywords:
Mathematics Homotopy Homotopy group Homology (biology) Pure mathematics Abelian group Homotopy sphere CW complex Combinatorics Bott periodicity theorem Finitely-generated abelian group Wedge (geometry) Singular homology Topology (electrical circuits) Geometry Genetics
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3
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0.65
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Citation History
Topics
Homotopy and Cohomology in Algebraic Topology
Physical Sciences → Mathematics → Mathematical Physics
Geometric and Algebraic Topology
Physical Sciences → Mathematics → Geometry and Topology
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
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