On a Covariant Functor v in the Category R - of Compact Tychonov Spaces and their Continuous Mappings into Itself

Authors

  • Tursunbay Zhurayev
  • Alimbay Rakhmatullayev
  • Gulnara Goyibnazarova
  • Gulbaxor Mirsaburova
  • Kamariddin Zhuvonov

DOI:

https://doi.org/10.47059/revistageintec.v11i2.1712

Abstract

This note defines a covariant functor V: ТуchТусh acting on the category of Tychonov spaces and continuous mappings into itself. Studying the topological and categorical properties of this functor V, it is shown that the functor V 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 V: ТуchТусh is an open functor, in the considered category R - of compact spaces and continuous mappings into yourself.

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Published

2021-06-02

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Section

Articles