On space of open quotient maps of a convergent sequence
Array
Keywords:
hyperspace, quotient map, Vietoris topologyAbstract
We consider the space of the classes of equivalences of continuous open maps defined on a convergent sequence induced by the Hausdorff metric. We show that $ \Psi (S) $ is a perfect zero-dimensional noncompact metric space which can be decomposed into the union of two sets, one of which is dense and the other is homeomorphic to the set of irrational numbers.
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Published
2012-06-28
How to Cite
(1)
Koporkh К. On Space of Open Quotient Maps of a Convergent Sequence: Array. Carpathian Math. Publ. 2012, 4, 58-66.
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Scientific articles