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- Acyclic_space abstract "In mathematics, an acyclic space is a topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that integral homology groups in all dimensions of X are isomorphic to the corresponding homology groups of a point. In other words, using the idea of reduced homology,If X is an acyclic CW complex, and if the fundamental group of X is trivial, then X is a contractible space, as follows from the Whitehead theorem and the Hurewicz theorem.".
- Acyclic_space wikiPageID "10355069".
- Acyclic_space wikiPageRevisionID "593010489".
- Acyclic_space hasPhotoCollection Acyclic_space.
- Acyclic_space id "p/a110270".
- Acyclic_space title "Acyclic groups".
- Acyclic_space subject Category:Algebraic_topology.
- Acyclic_space subject Category:Homology_theory.
- Acyclic_space subject Category:Homotopy_theory.
- Acyclic_space comment "In mathematics, an acyclic space is a topological space X in which cycles are always boundaries, in the sense of homology theory. This implies that integral homology groups in all dimensions of X are isomorphic to the corresponding homology groups of a point. In other words, using the idea of reduced homology,If X is an acyclic CW complex, and if the fundamental group of X is trivial, then X is a contractible space, as follows from the Whitehead theorem and the Hurewicz theorem.".
- Acyclic_space label "Acyclic space".
- Acyclic_space sameAs m.02q98hc.
- Acyclic_space sameAs Q4677988.
- Acyclic_space sameAs Q4677988.
- Acyclic_space wasDerivedFrom Acyclic_space?oldid=593010489.
- Acyclic_space isPrimaryTopicOf Acyclic_space.