Browsing Faculty of Natural Sciences by Author "Holgate, D"

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    • Codenseness and openness with respect to an interior operator 

      Assfaw, F.S; Holgate, D (Springer Nature, 2021)
      Working in an arbitrary category endowed with a fixed (E, M) -factorization system such that M is a fixed class of monomorphisms, we first define and study a concept of codense morphisms with respect to a given categorical ...

    • Quasi-uniform structures determined by closure operators 

      Holgate, D; Iragi, M (Elsevier, 2021)
      We demonstrate a one-to-one correspondence between idempotent closure operators and the so-called saturated quasi-uniform structures on a category C. Not only this result allows to obtain a categorical counterpart P of the ...