Original scientific paper
https://doi.org/10.21857/ypn4ocdn79
The Hurewicz theorem in Sho* and Sho*2
Nikola Koceić Bilan
orcid.org/0000-0003-4430-0091
; Faculty of Science, University of Split, 21 000 Split, Croatia
Ivančica Mirošević
orcid.org/0000-0002-6356-1943
; Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, 21 000 Split, Croatia
Abstract
The Hurewicz isomorphism theorem relating coarse shape groups and coarse shape homology groups of pointed metric continua is proved. A similar statement is proposed and proved in the category Sho*2 for relative coarse shape pro-groups and coarse shape homology pro-groups, and consequently a relative variant for relative coarse shape groups and coarse shape homology groups of pointed pairs of metric continua is given.
Keywords
Coarse shape group; Hurewicz theorem; homotopy; homology
Hrčak ID:
307500
URI
Publication date:
25.8.2023.
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