Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Coarse shape group; Hurewicz theorem; homotopy; homology

Hrčak ID:

307500

URI

https://hrcak.srce.hr/307500

Datum izdavanja:

25.8.2023.

Posjeta: 584 *