Abstract

We offer a unified approach to investigate hypertopologies. In this setting the proofs are simple and transparent. New problems are raised.

Keywords: Hypertopology, Bombay hypertopology, hit-and-miss, hit-and-far-miss topology, locally finite, discrete, uniformly discrete family, Hausdorff metric, Wijsman topology.

MSC: 54B20, 54E05, 54E15

Pages:  59$-$78     

Volume  60 ,  Issue  1 ,  2008