Browsing Department of Mathematics by Author "Holgate, David"

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  • Boundedness and pseudocompactness in pointfree topology 

    Alderaz, Fatma Hussien Shbani (University of Western Cape, 2019)
    This dissertation is a presentation to generalize boundedness and pseudocompactness in pointfree topology. We rst obtain and introduce a boundedness notion for elements of a frame. This is then further inspiration to ...

  • A categorical study of persistent homology for closure space 

    Bria, Aimé Razanaparany (University of the Western Cape, 2023)
    We begin with the concept of closure space and show how it relates to other objects like graphs and metric spaces in categorical terms. We also study the notion of simplicial sets and show that there is an adjunction between ...