Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 785-790
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We investigate the triples in the category of compacta whose functorial parts are normal functors in the sense of E.V. Shchepin (normal triples). The problem of lifting of functors to the categories of algebras of the normal triples is considered. The distributive law for normal triples is completely described.
Classification :
18B30, 18C15, 18C20, 54B30, 54D30
Keywords: triple; normal functor; category of algebras; distributive law; compact Hausdorff space; power functor; projective triple
Keywords: triple; normal functor; category of algebras; distributive law; compact Hausdorff space; power functor; projective triple
@article{CMUC_1991__32_4_a22,
author = {Zarichnyi, M. M.},
title = {Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {785--790},
publisher = {mathdoc},
volume = {32},
number = {4},
year = {1991},
mrnumber = {1159827},
zbl = {0769.54011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a22/}
}
TY - JOUR AU - Zarichnyi, M. M. TI - Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 785 EP - 790 VL - 32 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a22/ LA - en ID - CMUC_1991__32_4_a22 ER -
%0 Journal Article %A Zarichnyi, M. M. %T Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras %J Commentationes Mathematicae Universitatis Carolinae %D 1991 %P 785-790 %V 32 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a22/ %G en %F CMUC_1991__32_4_a22
Zarichnyi, M. M. Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 785-790. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a22/