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On connections of partially continuous singular cohomologies and Alexander-Spanier cohomologies

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In this work, connections between partially continuous and singular Alexander-Spanier cohomologies and usual and continuous homologies are found. Conditions are obtained under which, for given partially continuous cohomologies, the Meyer-Vietoris sequence and suspension axiom hold.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    L. D. Mdzinarishvili & L. K. Chechelashvili

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  1. L. D. Mdzinarishvili
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  2. L. K. Chechelashvili
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 43, Topology and Its Applications, 2006.

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Mdzinarishvili, L.D., Chechelashvili, L.K. On connections of partially continuous singular cohomologies and Alexander-Spanier cohomologies. J Math Sci 152, 404–435 (2008). https://doi.org/10.1007/s10958-008-9067-6

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  • DOI: https://doi.org/10.1007/s10958-008-9067-6

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