The coarse shape path connectedness
Glasnik Matematicki2011Vol. 46(2), pp. 489–503
Citations Over TimeTop 10% of 2011 papers
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.
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