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Some structure of Borel locales

Author(s): John Isbell
Journal: Proc. Amer. Math. Soc. 126 (1998), 2477-2479.
MSC (1991): Primary 54A05, 54H05; Secondary 04A15
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Abstract: All Borel classes of sublocales of the real line after the first ambiguous class (in particular, the limit ambiguous classes) have proper (=irreducible) representatives.

References:

1.: J. Isbell, First steps in descriptive theory of locales, Trans. Amer. Math. Soc. 327 (1991), 353-371; Corrections, 341 (1994), 467-468. MR 92b:54078; MR 94c:54071
2.: -, Some problems in descriptive locale theory, Canadian Math. Soc. Conference Proceeding 13 (1992), 243-265. MR 94a:54091
3.: K. Kuratowski, Topologie, vol. I, 4th ed., Warsaw, 1958. MR 19:873d
4.: T. Plewe, Localic products of spaces, Proc. London Math. Soc. (3) 73 (1996), 642-678. MR 97d:54012


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