Embedding theorems for function spaces

نویسندگان

چکیده

In this paper, we have proved results similar to Tychonoff's Theorem on embedding a space of functions with the topology pointwise convergence into Tychonoff product topological spaces, but applied function C(X,Y) all continuous from X uniform Y family subsets and (weak) set-open topology. We also investigated following question: how is related algebraic structures (such as groups, rings vector spaces) C(X,Y).

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2023

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2023.108523