Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras
Zarichnyi, Michael M.
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 785-790 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 1991-01-01
Classification:  18B30,  18C15,  18C20,  54B30,  54D30 
@article{118460,
     author = {Michael M. Zarichnyi},
     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},
     volume = {32},
     year = {1991},
     pages = {785-790},
     zbl = {0769.54011},
     mrnumber = {1159827},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118460}
}

Zarichnyi, Michael 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) pp. 785-790. http://gdmltest.u-ga.fr/item/118460/

Barr M.; Wells Ch. Toposes, triples and theories, Springer-Verlag, 1985. | MR 0771116 | Zbl 1081.18006

Beck J.M. Triples, algebras and cohomology, Ph.D. Thesis, Columbia University, 1967. | Zbl 1022.18004

Fedorchuk V.V. Soft mappings, multivalued retractions and functors (in Russian), Uspekhi Mat. Nauk, no. 6, 41 (1986), 121-159. (1986) | MR 0890495

Fedorchuk V.V.; Filippov V.V. General Topology. Fundamental Constructions (in Russian), Izd-vo MGU, 1988.

Maclane S. Categories for Working Mathematician, Springer-Verlag 1971. | MR 0354798

Radul T.M. On triples generated by some normal functors (in Ukrainian), Visn. Lviv. Un-tu. Ser. mekh.-mat., no. 34, 1990, 59-62. | MR 1196681

Shchepin E.V. Functors and infinite powers of compacta (in Russian), Uspekhi Mat. Nauk, no. 3, 36 (1981), 3-62. (1981) | MR 0622720

Vinárek J. Projective monads and extensions of functors, Math. Centr. Afd., no. 195, (1983), 1-12. (1983) | MR 0733105

Zarichnyĭ M.M. Superextension triple and its algebras (in Russian), Ukr. Mat. Zh., no. 3, 39 (1987), 303-309. (1987) | MR 0899494

Zarichnyĭ M.M. Multiplicative normal functor is a power one (in Russian), Mat. Zametki, no. 1, 41 (1987), 93-110. (1987) | MR 0886172

Zarichnyĭ M.M. Profinite multiplicativity of functors and characterization of projective triples in the category of compacta (in Russian), Ukr. Mat. Zh., no. 9, 42 (1990), 1271-1275. (1990) | MR 1093642

Zarichnyĭ M.M. On monadic functors of finite degree (in Russian), In: Questions of geometry and topology, Petrozavodsk, 1986. | MR 0975510