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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
MathSciNet review:
1459126
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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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Additional Information:
John
Isbell
Affiliation:
Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14214
Email:
ji2@acsu.buffalo.edu
DOI:
10.1090/S0002-9939-98-04448-7
PII:
S 0002-9939(98)04448-7
Keywords:
Irreducible Borel sublocale
Received by editor(s):
January 6, 1997
Communicated by:
Alan Dow
Copyright of article:
Copyright
1998,
American Mathematical Society
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