Original scientific paper

https://doi.org/10.3336/gm.46.2.17

The coarse shape path connectedness

Nikola Koceić Bilan orcid.org/0000-0003-4430-0091 ; Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia
Nikica Uglešić ; University of Zadar, Pavlinovićeva bb, 23000 Zadar, Croatia

Abstract

The bi-pointed coarse shape category of topological spaces is constructed and the notions of a coarse shape path and coarse shape connectedness of a space are naturally introduced. It is proven that the shape path connectedness strictly implies the coarse shape path connectedness even on metrizable compacta. Furthermore, the coarse shape path connectedness on metrizable compacta reduces to ordinary connectedness.

Keywords

Bi-pointed space; ANR; polyhedron; inverse system; resolution; expansion; shape; shape path; coarse shape; weak shape

Hrčak ID:

74276

URI

https://hrcak.srce.hr/74276

Publication date:

23.11.2011.

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