lp(R)-equivalence of topological spaces and topological modules
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515.1/.179 (1)
Topologie (43)
SM ISO690:2012
CHOBAN, Mitrofan, DUMBRĂVEANU, Radu. lp(R)-equivalence of topological spaces and topological modules . In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 1(77), pp. 20-47. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(77) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322

lp(R)-equivalence of topological spaces and topological modules
CZU: 515.1/.179

Pag. 20-47

Choban Mitrofan1, Dumbrăveanu Radu2
 
1 Tiraspol State University,
2 "Alecu Russo" State University of Balti
 
 
Disponibil în IBN: 28 iulie 2015


Rezumat

Let R be a topological ring and E be a unitary topological R-module. Denote by Cp(X,E) the class of all continuous mappings of X into E in the topology of pointwise convergence. The spaces X and Y are called lp(E)-equivalent if the topo- logical R-modules Cp(X,E) and Cp(Y,E) are topological isomorphisms. Some con- ditions under which the topological property P is preserved by the lp(E)-equivalence (Theorems 8 – 11) are given.

Cuvinte-cheie
Function space, topology of pointwise convergence, support, linear homeomorphism, perfect properties,

open finite-to-one properties.