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arxiv: 1501.04373 · v1 · pith:VXJWHZVZnew · submitted 2015-01-19 · 🧮 math.DS · math.LO

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

classification 🧮 math.DS math.LO
keywords actionsequivalencemodulospaceweaksemigrouptopologicaltopology
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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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