Volume 11 - Volume 11
On a Covariant Functor in the Category R – of Compact Tychonov Spaces and their Continuous Mappings into Itself
Abstract
This note defines a covariant functor v: Туch Тусh acting on the category of Tychonov spaces
and continuous mappings into itself. Studying the topological and categorical properties of this
functor, it is shown that the functor is a normal functor in the category R of compact spaces and continuous mappings into itself, which is a subcategory of Тусh. It is proved that the functor :Туch Тусh is an open functor, in the considered category R of compact spaces and continuous mappings into yourself.
Paper Details
PaperID: 1712
Author's Name: Tursunbay Zhurayev, ; Alimbay Rakhmatullayev, Gulnara Goyibnazarova, Gulbaxor Mirsaburova and Kamariddin Zhuvonov
Volume: Volume 11
Issues: Volume 11
Keywords: C - Embedding, R - Compactum, Functor, Continuous Extension.
Year: 2021
Month: April
Pages: 777-789