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math.GR2010★ 1 cited
Embedding topological semigroups into the hyperspaces over topological groups
Taras Banakh, Olena Hryniv
We study algebraic and topological properties of subsemigroups of the hyperspace exp(G) of non-empty compact subsets of a topological group G endowed with the Vietoris topology and…
math.GN2010★ 1 cited
Pontryagin duality between compact and discrete abelian inverse monoids
Taras Banakh, Olena Hryniv
For a topological monoid S the dual inverse monoid is the topological monoid of all identity preserving homomorphisms from S to the circle with attached zero. A topological monoid…
math.GN2010★ 3 cited
Free topological universal algebras and absolute neighborhood retracts
Taras Banakh, Olena Hryniv
We prove that for a complete quasivariety of topological -algebras of countable discrete signature and each submetrizable -space its free topological -a…