In [3] a certain family of topological spaces was introduced on ultraproducts. These spaces have been called ultratopologies and their definition was motivated by model theory of higher order logics. Ultratopologies provide a natural extra topological structure for ultraproducts. Using this extra st
✦ LIBER ✦
On “Ultraproducts in topology”
✍ Scribed by Paul Bankston
- Book ID
- 103094127
- Publisher
- Elsevier Science
- Year
- 1979
- Weight
- 206 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0016-660X
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In the article "Ultraproducts in topology" (General Topology Appl. 7 (1977) 283-308) Paul Bankston investigated ultraproducts of topological spaces (i.e., reduced box products of the form 0,X,, where L4 C P(n) is an ultrafilter) and asked when the quotient map q: OX, + 0,X, is closed (Problem 10.3).
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