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The Uniformizable Spaces Are Generated by the Real Numbers a
Author(s) -
OOSTRAV ARNOLD
Publication year - 1995
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1995.tb55904.x
Subject(s) - topological space , space (punctuation) , topology (electrical circuits) , relation (database) , mathematics , pure mathematics , discrete mathematics , computer science , combinatorics , data mining , operating system
A topological space X is generated by a space M if it has the weak topology induced by the collection of continuous functions from X to M . Some properties of this relation are discussed and an interesting example is shown: spaces generated by the real numbers are precisely the uniformizable spaces.