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This article is cited in 5 scientific papers (total in 5 papers)
Absolute extensors and the geometry of multiplication of monads in the category of compacta
M. M. Zarichnyi Ivan Franko National University of L'viv
Abstract:
An investigation is made of the geometry of the multiplication mappings $\mu X$ for monads $\mathbf T=(t,\eta,\mu)$ 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 $\mu I^\tau$ is soft for some $\tau>\omega_1$. It is proved that the multiplication mappings $\mu_GX$ and $\mu_NX$ of the inclusion hyperspace monad and the monad of complete chained systems are homeomorphic to trivial Tychonoff fibrations for openly generated continua $X$ that are homogeneous with respect to character.
Received: 11.09.1990
Citation:
M. M. Zarichnyi, “Absolute extensors and the geometry of multiplication of monads in the category of compacta”, Mat. Sb., 182:9 (1991), 1261–1280; Math. USSR-Sb., 74:1 (1993), 9–27
Linking options:
https://www.mathnet.ru/eng/sm1358https://doi.org/10.1070/SM1993v074n01ABEH003331 https://www.mathnet.ru/eng/sm/v182/i9/p1261
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Abstract page: | 313 | Russian version PDF: | 101 | English version PDF: | 9 | References: | 47 | First page: | 1 |
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