A Topological Characterization of Gleason Parts of Real Function Algebras
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 44-49
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It is well-known that a topological space is a Gleason part of some complex function algebra if and only if it is completely regular and σ-compact. In the present paper, a Gleason part of a real function algebra is characterized as a completely regular σ-compact topological space which admits an involutoric homeomorphism.
Kulkarni, S. H.; Limaye, B. V. A Topological Characterization of Gleason Parts of Real Function Algebras. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 44-49. doi: 10.4153/CMB-1983-008-3
@article{10_4153_CMB_1983_008_3,
author = {Kulkarni, S. H. and Limaye, B. V.},
title = {A {Topological} {Characterization} of {Gleason} {Parts} of {Real} {Function} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {44--49},
year = {1983},
volume = {26},
number = {1},
doi = {10.4153/CMB-1983-008-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-008-3/}
}
TY - JOUR AU - Kulkarni, S. H. AU - Limaye, B. V. TI - A Topological Characterization of Gleason Parts of Real Function Algebras JO - Canadian mathematical bulletin PY - 1983 SP - 44 EP - 49 VL - 26 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-008-3/ DO - 10.4153/CMB-1983-008-3 ID - 10_4153_CMB_1983_008_3 ER -
%0 Journal Article %A Kulkarni, S. H. %A Limaye, B. V. %T A Topological Characterization of Gleason Parts of Real Function Algebras %J Canadian mathematical bulletin %D 1983 %P 44-49 %V 26 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-008-3/ %R 10.4153/CMB-1983-008-3 %F 10_4153_CMB_1983_008_3
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