Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Dorca Nyamusi Stephen"'
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 20, Iss 1, Pp 175-200 (2024)
As usual, let $\mathcal RL$ denote the ring of real-valued continuous functions on a completely regular frame $L$. Let $\beta L$ and $\lambda L$ denote the Stone-\v{C}ech compactification of $L$ and the Lindel\"of coreflection of $L$, respectively. T
Externí odkaz:
https://doaj.org/article/872505657f9c444292566137a0fb5dfb
Autor:
Themba Dube, Dorca Nyamusi Stephen
Publikováno v:
Applied Categorical Structures.
A map that is well known in C(X), dating back to the work of L. Gillman, M. Henriksen and M. Jerison in 1954, is here used to construct a morphism of quantales, whose right adjoint we show to be the map that sends a subset A of $$\beta X$$ to the ide
Autor:
Themba Dube, Dorca Nyamusi Stephen
Publikováno v:
Topology and its Applications. 309:107908
Let X be a Tychonoff space. Associated with every subset S of βX are the ideals M S = { f ∈ C ( X ) | S ⊆ cl β X Z ( f ) } and O S = { f ∈ C ( X ) | S ⊆ int β X cl β X Z ( f ) } of the ring C ( X ) , where Z ( f ) denotes the zero-set of
Autor:
Themba Dube, Dorca Nyamusi Stephen
Publikováno v:
Topology and its Applications. 284:107360
Let X be a Tychonoff space. Associated with every subset A ⊆ β X is the ideal O A of the ring C ( X ) consisting of all functions that vanish in a neighborhood of X ∩ A . Now, viewing Tychonoff spaces as objects in the category CRLoc of complete