Samuel compactification and uniform coreflection of nearness $\sigma$-frames

Title:

Samuel compactification and uniform coreflection of nearness $\sigma$-frames

Creator:

Naidoo, Inderasan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2731316f-ca4d-4279-add2-aec720d8962e
uuid:2731316f-ca4d-4279-add2-aec720d8962e

Subject:

$\sigma $-frame, nearness, and Samuel compactification

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We introduce the structure of a nearness on a $\sigma $-frame and construct the coreflection of the category ${\mathbf N\sigma Frm}$ of nearness $\sigma $-frames to the category ${\mathbf KReg\sigma Frm}$ of compact regular $\sigma $-frames. This description of the Samuel compactification of a nearness $\sigma $-frame is in analogy to the construction by Baboolal and Ori for nearness frames in [1] and that of Walters for uniform $\sigma $-frames in [11]. We also construct the uniform coreflection of a nearness $\sigma $-frame, that is, the coreflection of the category of ${\mathbf N\sigma Frm}$ to the category U$\sigma $Frm of uniform $\sigma $-frames.

Language:

English

Rights:

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

Coverage:

1229-1241

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:4

Harvested from:

CDK

Metadata only:

false