Functor of weakly additive τ-smooth functionals and mappings

We present a criterion for the τ-smoothness of weakly additive order-preserving functionals and establish that the functor of τ-smooth weakly additive functionals preserves the perfectness of mappings. We prove that if a continuous mapping between Tikhonov spaces is such that the mapping between the...

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Bibliographic Details
Date:2009
Main Authors: Ayupov, Sh. A., Zaitov, A. A., Аюпов, Ш. A., Заитов, A. A.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3089
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal