Document Zbl 0637.18004

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A remark on monoidal closed structures on Top. (English) Zbl 0637.18004

Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, 77-79 (1985).

The main result of this note asserts that, for any closed monoidal (but not necessarily symmetric) structure on the category of topological spaces, the underlying set of the space \(X\otimes Y\) is the cartesian product \(X\times Y\).

Reviewer: W.Tholen

Cited in 4 Documents

MSC:

18D15	Closed categories (closed monoidal and Cartesian closed categories, etc.)
54B30	Categorical methods in general topology
18B30	Categories of topological spaces and continuous mappings (MSC2010)

Keywords:

monoidal closed category; category of topological spaces

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