Weak Families of Maps
- 1 December 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 8 (6) , 771-781
- https://doi.org/10.4153/cmb-1965-057-7
Abstract
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 .Keywords
This publication has 2 references indexed in Scilit:
- Structures quotientCommentarii Mathematici Helvetici, 1963
- Rings of Continuous FunctionsPublished by Springer Nature ,1960