Conditions under which the least compactification of a regular continuous frame is perfect

Title:

Conditions under which the least compactification of a regular continuous frame is perfect

Creator:

Baboolal, Dharmanand

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5b31f58f-df44-4592-8085-49638e48c950
uuid:5b31f58f-df44-4592-8085-49638e48c950

Subject:

regular continuous frame and perfect compactification

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

505-515

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:2

Harvested from:

CDK

Metadata only:

false