Absolute extensors and the geometry of multiplication of monads in the category of compacta
Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 9-27
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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.
@article{SM_1993_74_1_a1,
author = {M. M. Zarichnyi},
title = {Absolute extensors and the geometry of multiplication of monads in the category of compacta},
journal = {Sbornik. Mathematics},
pages = {9--27},
publisher = {mathdoc},
volume = {74},
number = {1},
year = {1993},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1993_74_1_a1/}
}
M. M. Zarichnyi. Absolute extensors and the geometry of multiplication of monads in the category of compacta. Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 9-27. http://geodesic.mathdoc.fr/item/SM_1993_74_1_a1/