engleski

The coarse shape path connectedness

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.

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

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