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lp(R)-equivalence of topological spaces and topological modules
Authors: Mitrofan M. Choban, Radu N. Dumbrăveanu
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Abstract
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.Mitrofan M. Choban
Department of Mathematics
Tiraspol State University
MD-2069, Chișinău
Moldova
E-mail: Radu N. Dumbrăveanu
Department of Mathematics
Bălți State University
MD-3121, Bălți
Moldova
E-mail:
Department of Mathematics
Tiraspol State University
MD-2069, Chișinău
Moldova
E-mail: Radu N. Dumbrăveanu
Department of Mathematics
Bălți State University
MD-3121, Bălți
Moldova
E-mail:
Fulltext
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Contents
- On fixed point subalgebras of some local algebras over a field
- Stability radius bounds in multicriteria Markowitz portfolio problem with venturesome investor criteria
- lp(R)-equivalence of topological spaces and topological modules
- One subfamily of cubic systems with invariant lines of total multiplicity eight and with two distinct real infinite singularities
- Primary decomposition of general graded structures
- On the distinction between one-dimensional Euclidean and hyperbolic spaces
- On the number of ring topologies on countable rings
- Determining the Optimal Evolution Time for Markov Processes with Final Sequence of States
