Functor of weakly additive τ-smooth functionals and mappings

• Datum: 2009
• Hauptverfasser: Ayupov, Sh. A., Zaitov, A. A., Аюпов, Ш. A., Заитов, A. A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3089
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...