A note on quotient spaces of supercompact spaces | Zendy

Zhongqiang Yang | Zendy

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A note on quotient spaces of supercompact spaces

Author(s) -

Zhongqiang Yang

Publication year - 1994

Publication title -

tsukuba journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 2423-821X

pISSN - 0387-4982

DOI - 10.21099/tkbjm/1496162467

Subject(s) - mathematics , subbase , quotient , cover (algebra) , pure mathematics , quotient space (topology) , class (philosophy) , space (punctuation) , point (geometry) , discrete mathematics , combinatorics , topological space , geometry , general topology , computer science , mechanical engineering , extension topology , artificial intelligence , engineering , operating system

A space is called supercompact if it has an open subbase such that every cover consisting of elements of the subbase has a subcover consisting of two elements. In this paper we prove that the quotient space of a supercompact space obtained by identifying a finiteset or a closed G^-set to a point is also supercompact thus answering a question of M. G. Bell. AMS Subj. Class. 54D30 Key words, supercompact, quotient.

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