Conditions under which the least compactification of a regular continuous frame is perfect
Czechoslovak Mathematical Journal (2012)
- Volume: 62, Issue: 2, page 505-515
- ISSN: 0011-4642
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Abstract
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topBaboolal, Dharmanand. "Conditions under which the least compactification of a regular continuous frame is perfect." Czechoslovak Mathematical Journal 62.2 (2012): 505-515. <http://eudml.org/doc/246333>.
@article{Baboolal2012,
abstract = {We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of the characterizations is that the remainder of the regular continuous frame in each of its compactifications is compact and connected.},
author = {Baboolal, Dharmanand},
journal = {Czechoslovak Mathematical Journal},
keywords = {regular continuous frame; perfect compactification; regular continuous frame; perfect compactification},
language = {eng},
number = {2},
pages = {505-515},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Conditions under which the least compactification of a regular continuous frame is perfect},
url = {http://eudml.org/doc/246333},
volume = {62},
year = {2012},
}
TY - JOUR
AU - Baboolal, Dharmanand
TI - Conditions under which the least compactification of a regular continuous frame is perfect
JO - Czechoslovak Mathematical Journal
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 2
SP - 505
EP - 515
AB - We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of the characterizations is that the remainder of the regular continuous frame in each of its compactifications is compact and connected.
LA - eng
KW - regular continuous frame; perfect compactification; regular continuous frame; perfect compactification
UR - http://eudml.org/doc/246333
ER -
References
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- Baboolal, D., 10.1007/s10587-011-0032-z, Czech. Math. J. 61(136) (2011), 845-861. (2011) MR2853096DOI10.1007/s10587-011-0032-z
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- Johnstone, P. T., Stone Spaces, Cambridge University Press Cambridge (1982). (1982) Zbl0499.54001MR0698074
- Jung, C. F. K., 10.4064/cm-27-2-247-249, Colloq. Math. 27 (1973), 247-249. (1973) Zbl0262.54015MR0326661DOI10.4064/cm-27-2-247-249
- Sklyarenko, E. G., 10.1090/trans2/058/11, Am. Math. Soc. Transl., II. Ser. 58 (1966), 216-244. (1966) DOI10.1090/trans2/058/11
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