A multiplicative normal functor is a power functor

1987 ◽  
Vol 41 (1) ◽  
pp. 58-61 ◽  
Author(s):  
M. M. Zarichnyi
Keyword(s):  
Normal Functor ◽  
Power Functor

scholarly journals On the Derived Functors of the Third Symmetric-Power Functor

2009 ◽  
Vol 2 (0) ◽  
pp. 19-39
Author(s):  
Bernhard Köck ◽  
Ramesh Satkurunath
Keyword(s):  
Symmetric Power ◽  
The Third ◽  
Derived Functors ◽  
Power Functor

scholarly journals A functor IS in the Category Compact Hausdorff Spaces

2020 ◽  
Vol 6 (3) ◽  
pp. 13-22
Author(s):  
Kh. Kurbanov ◽  
S. Yodgarov
Keyword(s):  
Hausdorff Spaces ◽  
Normal Functor ◽  
Compact Spaces ◽  
Continuous Maps

We construct a space of normed, homogeneous and max-plus-semiadditive functionals and we give its description. Further we establish that the construction of taking of a space of normed, homogeneous and max-plus-semiadditive functionals, forms a normal functor acting in the category of Hausdorff compact spaces and their continuous maps.

scholarly journals On paracompact spaces and projectively inductively closed functors

2002 ◽  
Vol 3 (1) ◽  
pp. 33 ◽  
Author(s):  
T.F. Zhuraev
Keyword(s):  
Sufficient Conditions ◽  
Finite Degree ◽  
Normal Functor ◽  
Paracompact Spaces

<p>In this paper we introduce a notion of projectively inductively closed functor (p.i.c.-functor). We give sufficient conditions for a functor to be a p.i.c.-functor. In particular, any finitary normal functor is a p.i.c.-functor. We prove that every preserving weight p.i.c.- functor of a finite degree preserves the class of stratifiable spaces and the class of paracompact -spaces. The same is true (even if we omit a preservation of weight) for paracompact -spaces and paracompact p-spaces.</p>

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

2021 ◽  
Vol 11 (2) ◽  
pp. 777-789
Author(s):  
Tursunbay Zhurayev ◽  
Alimbay Rakhmatullayev ◽  
Gulnara Goyibnazarova ◽  
Gulbaxor Mirsaburova ◽  
Kamariddin Zhuvonov
Keyword(s):  
Covariant Functor ◽  
Normal Functor ◽  
Compact Spaces ◽  
Categorical Properties ◽  
Continuous Mappings

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.

On Fedorchuk’s normal functor theorem

2011 ◽  
Vol 90 (3-4) ◽  
pp. 611-614
Author(s):  
M. A. Dobrynina
Keyword(s):  
Normal Functor

scholarly journals Serre classes for toposes

1982 ◽  
Vol 25 (1) ◽  
pp. 103-115 ◽  
Author(s):  
M. Adelman ◽  
P.T. Johnstone
Keyword(s):  
Power Functor

We prove first that a logical fraction functor from a topos to a topos must be a filter-power functor, then we prove that such functors can have adjoints only when the filter is principal. Finally we refine this so that we are able to prove that the filter-power of a Grothendieck topos is Grothendieck if and only if the filter is principal.

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