Glasnik matematički, Vol. 46 No. 2, 2011.
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
Publication date:
23.11.2011.
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