ABSOLUTE EXTENSORS AND THE GEOMETRY OF MULTIPLICATION OF MONADS IN THE CATEGORY OF COMPACTA

Autor:	M M Zarichnyi
Rok vydání:	1993
Předmět:	Hyperspace Character (mathematics) Functor Homogeneous Computer Science::Logic in Computer Science Mathematics::Category Theory General Mathematics Mathematics::General Topology Geometry Multiplication Characterization (mathematics) Monad (functional programming) Mathematics
Zdroj:	Mathematics of the USSR-Sbornik. 74:9-27
ISSN:	0025-5734
Popis:	An investigation is made of the geometry of the multiplication mappings for monads whose functorial parts are (weakly) normal (in the sense of Shchepin) functors acting in the category of compacta. A characterization is obtained for a power monad as the only normal monad such that the multiplication mapping is soft for some \omega_1$ SRC=http://ej.iop.org/images/0025-5734/74/1/A02/tex_sm_3331_img4.gif/>. It is proved that the multiplication mappings and of the inclusion hyperspace monad and the monad of complete chained systems are homeomorphic to trivial Tychonoff fibrations for openly generated continua that are homogeneous with respect to character.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f20a31e25c97e144a880db2f21c2a5d6 https://doi.org/10.1070/sm1993v074n01abeh003331 Zobrazit plný text záznamu