Celebrating Professor Themba A. Dube (A TAD Celebration I)

This is the first in a series of survey papers featuring the mathematical contributions of Themba Dube to pointfree topology and ordered algebraic structures. We cover Dube’s distinguished career and benefactions to the discipline with the early beginnings in nearness frames. We envelope the essenti...

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Main Author: Inderasan Naidoo
Format: Article
Language:English
Published: Shahid Beheshti University 2024-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_104229_b8136648876f7971825ceeaba208e6e8.pdf
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author Inderasan Naidoo
author_facet Inderasan Naidoo
author_sort Inderasan Naidoo
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description This is the first in a series of survey papers featuring the mathematical contributions of Themba Dube to pointfree topology and ordered algebraic structures. We cover Dube’s distinguished career and benefactions to the discipline with the early beginnings in nearness frames. We envelope the essential aspects of Dube’s work in structured frames. The paper radars across the initial themes of nearness, metrization, and uniform structures that Dube conceives and presents in his independent and joint published papers. Pertinent subcategories of these structured frames are discussed. We also feature Dube’s imprints on certain categorical aspects of his work on βL, λL, υL and ßL.
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spelling doaj.art-9629c989485b460da8ac4cfae816cc142024-04-01T19:52:48ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612024-01-012013310310.48308/cgasa.2023.234071.1453104229Celebrating Professor Themba A. Dube (A TAD Celebration I)Inderasan Naidoo0University of South AfricaThis is the first in a series of survey papers featuring the mathematical contributions of Themba Dube to pointfree topology and ordered algebraic structures. We cover Dube’s distinguished career and benefactions to the discipline with the early beginnings in nearness frames. We envelope the essential aspects of Dube’s work in structured frames. The paper radars across the initial themes of nearness, metrization, and uniform structures that Dube conceives and presents in his independent and joint published papers. Pertinent subcategories of these structured frames are discussed. We also feature Dube’s imprints on certain categorical aspects of his work on βL, λL, υL and ßL.https://cgasa.sbu.ac.ir/article_104229_b8136648876f7971825ceeaba208e6e8.pdfnearness and uniform framelocally fineparacompactbooleanizationcompletioncauchy completion
spellingShingle Inderasan Naidoo
Celebrating Professor Themba A. Dube (A TAD Celebration I)
Categories and General Algebraic Structures with Applications
nearness and uniform frame
locally fine
paracompact
booleanization
completion
cauchy completion
title Celebrating Professor Themba A. Dube (A TAD Celebration I)
title_full Celebrating Professor Themba A. Dube (A TAD Celebration I)
title_fullStr Celebrating Professor Themba A. Dube (A TAD Celebration I)
title_full_unstemmed Celebrating Professor Themba A. Dube (A TAD Celebration I)
title_short Celebrating Professor Themba A. Dube (A TAD Celebration I)
title_sort celebrating professor themba a dube a tad celebration i
topic nearness and uniform frame
locally fine
paracompact
booleanization
completion
cauchy completion
url https://cgasa.sbu.ac.ir/article_104229_b8136648876f7971825ceeaba208e6e8.pdf
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