Geodesic
$l_p(R)$-equivalence of topological spaces and topological modules
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2015), pp. 20-47

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Let $R$ be a topological ring and $E$ be a unitary topological $R$-module. Denote by $C_p(X,E)$ the class of all continuous mappings of $X$ into $E$ in the topology of pointwise convergence. The spaces $X$ and $Y$ are called $l_p(E)$-equivalent if the topological $R$-modules $C_p(X,E)$ and $C_p(Y,E)$ are topological isomorphisms. Some conditions under which the topological property $\mathcal P$ is preserved by the $l_p(E)$-equivalence (Theorems 8–11) are given. 
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     title = {$l_p(R)$-equivalence of topological spaces and topological modules},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Mitrofan M. Choban; Radu N. Dumbrăveanu. $l_p(R)$-equivalence of topological spaces and topological modules. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2015), pp. 20-47. http://geodesic.mathdoc.fr/item/BASM_2015_1_a2/