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Tensor products with bounded continuous functions. (English) Zbl 1041.54024
The paper is a study of Stone-Čech compactification. The main result is that under certain conditions there is a natural identification between the Stone-Čech compactification of the product of two spaces and the product of the Stone-Čech compactifications of the the spaces.
The paper is an excellent contribution to a beautiful topic of research. It is self-contained and it takes the reader to an area of active research.
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
46M05 Tensor products in functional analysis
46L06 Tensor products of \(C^*\)-algebras
54B10 Product spaces in general topology
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