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Foundations of the theory of $\ell_{1}$ homology
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Abstract
In this paper, we provide the algebraic foundations to the theory of relative `1 homology. In particular, we prove that `1 homology of topological spaces, both for the absolute case and for the relative case, depends only on their fundamental groups. We also provide a proof of Gromov's Equivalence theorem for `1 homology, stated by Gromov without proof [4].
참고문헌 (8)
- "Some remarks on bounded cohomology", 97, pp.53~63 (1981)
- "Cohomology of Groups" (1982), Springer-Verlag
- "Some results on bounded cohomology", 202, pp.111~163 (1993)
- "Volume and bounded cohomology", pp.5~100 (1982)
- "Foundation of theory of bounded cohomology", 37, pp.1090~1114 (1987)
- "Bounded cohmology of certain groups of homeomor-phisms", 94, pp.539~544 (1985)
- "Bounded cohomology and `1-homology of surfaces", 23, pp.465~471 (1984)
- "Relative bounded cohomology", 131, pp.203~234 (2003)
관련 논문AI추천
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