Some constructive roads to Tychonoff

نویسنده

  • Steven Vickers
چکیده

The Tychonoff Theorem is discussed with respect to point-free topology, from the point of view of both topos-valid and predicative mathematics. A new proof is given of the infinitary Tychonoff Theorem using predicative, choice-free methods for possibly undecidable index set. It yields a complete description of the finite basic covers of the product.

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تاریخ انتشار 2005