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Weak Families of Maps

Published online by Cambridge University Press:  20 November 2018

J. C. Taylor
J. C. Taylor*
Affiliation:
McGill University
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Let Ω be an index set and for each αϵΩ let fα:X → Xα be a function where X and Xα are sets. Assume that, for each α, a topology is given for Xα. Then, as is well-known, the functions fα and the topologies determine a topology for X. This is the so-called weak or initial topology, which is generated by .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 6 , December 1965 , pp. 771 - 781
Copyright
Copyright © Canadian Mathematical Society 1965

References

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