Browsing School of Mathematical & Computational Sciences by Subject "Topology"

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  • Compactness in pointfree topology 
    Twala, Nduduzo Tedius (2022)
    Our discussion starts with the study of convergence and clustering of filters initiated in pointfree setting by Hong, and then characterize compact and almost compact frames in terms of these filters. We consider the ...
  • On completion and connectedness properties of Csaszar frames 
    Shikweni, Pinkie (2021)
    A Cs´ asz´ ar frame is a point free version of syntopogenous space, itself a concept that is attributed to ´ Akos Cs´ asz´ ar [14]. In his two papers, Chung ([12] and [13]) characterised few types of Cs´ asz´ ar frames and ...
  • On P- frames and their generalisations 
    Ngoako, Thabo David (2024)
    In this dissertation, we study P -frames and their generalisations. On the generalisations of P - frames we consider, in particular essential P -frames, CP -frames, almost P -frames, F -frames, F ′-frames and PF -frames. ...
  • On strongly paracompact and uniformly paracompact locales 
    Gwizo, Gorden (2024)
    This study investigates the properties of strongly paracompact and uniformly paracompact spaces into locales. The research builds on the work of Rice [31], Frolik [15], and Borubaev [3], who expanded the concept of ...
  • On yosida frames and related frames 
    Matabane, Mogalatjane Edward (2012)
    Topological structures called Yosida frames and related algebraic frames are studied in the realm of Pointfree Topology. It is shown that in algebraic frames regular elements are those for which compact elements are rather ...

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