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arXiv · 1005.5661

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

Lesya Karchevska
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Abstract

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 $w(X) = τ$ the map $μ_F X$, where $F\in\{O,OH\}$, is homeomorphic to trivial $I^τ$-fibration if and only if $X$ is openly generated $χ$-homogeneous compactum.

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Lesya Karchevska. 2010-05-31. Trivial fibrations of the multiplication maps for monads generated by the functors of order-preserving and positively homogeneous functionals. https://arxiv.org/abs/1005.5661

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