On the Hewitt Realcompactification of a Product Space
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Publication:5540236
DOI10.2307/1994683zbMath0157.53402OpenAlexW4250484521MaRDI QIDQ5540236
Publication date: 1968
Full work available at URL: https://doi.org/10.2307/1994683
Realcompactness and realcompactification (54D60) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10)
Related Items (31)
Generalizations of $M$-spaces, I ⋮ Preservation of products by functors close to reflectors ⋮ Connectedness modulo an ideal ⋮ A nonstandard approach to realcompactness with applications to the equation \(v(X \times Y) = v(X) \times v(Y)\) ⋮ A note on \(b_f\)-spaces and on the distribution of the functor of the Dieudonné completion ⋮ The Hewitt Realcompactification of Products ⋮ Real-boards of ideals in \(C(X)\) and their applications to characterize some spaces ⋮ The partially ordered set of one-point extensions ⋮ Local compactness and Hewitt realcompactifications of products. II ⋮ Pseudocompact sets, absolutely Warner bounded sets and continuous function spaces ⋮ When the family of functions vanishing at infinity is an ideal of \(C(X)\). ⋮ Supports of Continuous Functions ⋮ Products with Closed Projections ⋮ Intersections of essential (resp. free) maximal ideals of \(C(X)\) ⋮ Ideal spaces ⋮ The Continuity of Functions on Cartesian Products ⋮ Realcompactifications of Products of Ordered Spaces ⋮ Topological completions and realcompactifications ⋮ Topological groups and \(C\)-embeddings ⋮ Connectedness modulo a topological property ⋮ A pseudocompactification ⋮ Unnamed Item ⋮ An example on realcompactifications ⋮ Lattices of Topological Extensions ⋮ On the product of twob R-spaces and the class 45-145-145-1of Frolík ⋮ Continuous functions on locally pseudocompact groups ⋮ Topological Extension Properties ⋮ Topological extensions with compact remainder ⋮ On the product of two \(b_ f\)-spaces ⋮ \(G_ \delta\)-open functionally bounded subsets in topological groups ⋮ Local Compactness and Hewitt Realcompactifications of Products
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