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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.
MSC:
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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