Trivial fibrations of the multiplication maps for monads generated by the functors of order-preserving and positively homogeneous functionals

Details Trivial fibrations of the multiplication maps for monads generated by the functors of order-preserving and positively homogeneous functionals Trivial fibrations of the multiplication maps for monads generated by the functors of order-preserving and positively homogeneous functionals

2010-05-31

arxiv.org/abs/1005.5661v1

Mathematics

General Topology

7 pages

Scientific paper

In this paper we further investigate the geometry of monads of
order-preserving functionals and of positively homogeneous functionals. We
prove that for any compactum X with $w(X) = \tau$ the map $\mu_F X$, where
$F\in\{O,OH\}$, is homeomorphic to trivial $I^\tau$-fibration if and only if
$X$ is openly generated $\chi$-homogeneous compactum.

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