Browsing Theses and Dissertations (Mathematics) by Title

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  • On closed and quotient maps of locales 
    Thoka, Mahuleng Ludwick (2007)
    The category Loc of locales and continuous maps is dual to the category Frm of frames and frame homomorphisms. Regular subobjects of a locale A are elements of the form Aj = fj : A ! A j j(a) = ag: The subobjects of ...
  • 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 ...
  • (p,g,r) - generations and conjugacy class ranks of certain simple groups of the form, Sp(,2), M23 and A11 
    Motalane, Malebogo John (2021)
    A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T(l, m, n) = x, y, z|xl = ym = zn = xyz = 1-. In [43], Moori posed the question of finding all the (p, q, r) triples, where ...
  • Second law analysis for hydromagnetic third grade fluid flow with variable properties 
    Thosago, Kgomotshwana Frans (2022)
    The world is under threat from the devastating effects of the continued depletion of the Ozone layer. Increased global warming is causing catastrophic ecological damage and imbalance due to accelerated melting of glaciers, ...

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