P-ideals and F-ideals in rings of continuous functions
Pointwise and order convergence for spaces of continuous functions and spaces of Baire functions
Pointwise Characterization of Ideals of Differentiable Functions.
Projectively generated convergence of sequences
Projectivity of pure ideals
Purity of the ideal of continuous functions with pseudocompact support.
Rational extensions of C(X) and semicontinuous functions [Book]
Real closed rings, I. Residue rings of rings of continuous functions
Real ideals in the maximal ring of quotients of
Realcompactness and spaces of vector-valued functions
It is shown that the existence of a biseparating map between a large class of spaces of vector-valued continuous functions A(X,E) and A(Y,F) implies that some compactifications of X and Y are homeomorphic. In some cases, conditions are given to warrant the existence of a homeomorphism between the realcompactifications of X and Y; in particular we find remarkable differences with respect to the scalar context: namely, if E and F are infinite-dimensional and T: C*(X,E) → C*(Y,F) is a biseparating...
Regular representations of semisimple MV-algebras by continuous real functions
Rigid extensions of -groups of continuous functions
Let , and denote the -groups of integer-valued, rational-valued and real-valued continuous functions on a topological space , respectively. Characterizations are given for the extensions to be rigid, major, and dense.
Rings of continuous functions vanishing at infinity
We prove that a Hausdorff space is locally compact if and only if its topology coincides with the weak topology induced by . It is shown that for a Hausdorff space , there exists a locally compact Hausdorff space such that . It is also shown that for locally compact spaces and , if and only if . Prime ideals in are uniquely represented by a class of prime ideals in . -compact spaces are introduced and it turns out that a locally compact space is -compact if and only if every...
Rings of Real-Valued Continuous Functions. II.
Rings Of Real-Valued Functions And The Finite Subcovering Property.
Separating maps and the nonarchimedean Hewitt theorem
Some problems and lines of investigation in general topology
Some properties of the ideal of continuous functions with pseudocompact support.
Some properties of the remainder of Stone-Čech compactifications
Some remarks on almost radiality in function spaces