On the continuity of factorizations
Let {Xi : i ∈ I} be a set of sets, XJ :=Пi∈J Xi when Ø ≠ J ⊆ I; Y be a subset of XI , Z be a set, and f : Y → Z. Then f is said to depend on J if p, q ∈ Y , pJ = qJ ⇒ f(p) = f(q); in this case, fJ : πJ [Y ] → Z is well-defined by the rule f = fJ ◦ πJ|Y When the Xi and Z are spaces and f : Y → Z is...
Main Authors: | W.W. Comfort, Ivan S. Gotchev, Luis Recoder-Nuñez |
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Format: | Article |
Language: | English |
Published: |
Universitat Politècnica de València
2008-10-01
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Series: | Applied General Topology |
Subjects: | |
Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1806 |
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