On monotonous separately continuous functions
Let T = (T, ≤) and T1= (T1 , ≤1) be linearly ordered sets and X be a topological space. The main result of the paper is the following: If function ƒ(t,x) : T × X → T1 is continuous in each variable (“t” and “x”) separately and function ƒx(t) = ƒ(t,x) is monotonous on T for every x ∈ X, th...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2019-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/9817 |