Free topological universal algebras and absolute neighborhood retracts
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BANAKH, Taras, HRYNIV, Olena. Free topological universal algebras and absolute neighborhood retracts. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 1(65), pp. 50-59. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322

Free topological universal algebras and absolute neighborhood retracts

Pag. 50-59

Banakh Taras, Hryniv Olena
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 6 decembrie 2013


Rezumat

We prove that for a complete quasivariety K of topological E-algebras of countable discrete signature E and each submetrizable ANR(k!)-space X its free topological E-algebra FK(X) in the class K is a submetrizable ANR(k!)-space.

Cuvinte-cheie
Topological universal algebra, free topological universal algebra, a quasivariety of topological algebras, absolute neighborhood retract, absolute neighborhood extensor