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      Milnor-Thurston homology groups of the Warsaw Circle

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          Abstract

          Milnor-Thurston homology theory is a construction of homology theory that is based on measures. It is known that it is equivalent to singular homology theory in case of manifolds and complexes. Its behaviour for non-tame spaces is still unknown. This paper provides results in this direction. We prove that Milnor-Thurston homology groups for the Warsaw Circle are trivial except for the zeroth homology group which is uncountable dimensional. Additionally, we prove that the zeroth homology group is non-Hausdor?ff for this space with respect a natural topology that was proposed by Berlanga.

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          The combinatorial structure of the Hawaiian earring group

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            A Van Kampen Theorem for Weak Joins

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              On the (non)-coincidence of Milnor–Thurston homology theory with singular homology theory

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                Author and article information

                Journal
                1403.1478

                Geometry & Topology
                Geometry & Topology

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