A topological semigroup structure on the space of actions modulo weak equivalence

2015/01/19 by Peter Burton, Burton, Peter
Computer Science · Decision Sciences · Mathematics · #37A35 #Advanced Algebra and Logic #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1501.04373

openalex publication_date 2015/01/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We introduce a topology on the space of actions modulo weak equivalence finer than the one previously studied in the literature. We show that the product of actions is a continuous operation with respect to this topology, so that the space of actions modulo weak equivalence becomes a topological semigroup.

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• Toposes of Topological Monoid Actions
• Reccurence Sets for Partial Inverse, Semigroup Actions and Related\n Structures
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