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Ultima descărcare din IBN: 2022-04-26 09:38 |
Căutarea după subiecte similare conform CZU |
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 | ||||||
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CZU: 515.1/.179 | ||||||
Pag. 20-47 | ||||||
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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. |
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Cuvinte-cheie Function space, topology of pointwise convergence, support, linear homeomorphism, perfect properties, open finite-to-one properties. |
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