Weak Families of Maps
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 771-781

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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 .
Taylor, J. C. Weak Families of Maps. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 771-781. doi: 10.4153/CMB-1965-057-7
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     author = {Taylor, J. C.},
     title = {Weak {Families} of {Maps}},
     journal = {Canadian mathematical bulletin},
     pages = {771--781},
     year = {1965},
     volume = {8},
     number = {6},
     doi = {10.4153/CMB-1965-057-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-057-7/}
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