A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class ofâ€¦ (More)

Let A= (ank) be an infinite matrix with all ank â‰¥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]âˆž((Ek)),â€¦ (More)

Let P = (pk) be a bounded positive sequence and let A= (ank) be an infinite matrix with all ank â‰¥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A,P]âˆž((Ek)),â€¦ (More)

This is a preliminary report on the continuous action of convergence groups on convergence spaces. In particular, the convergence structure on the homeomorphism group and its continuous action areâ€¦ (More)

The categorical topologists Bentley et al. [1] have shown that the category FIL of filter spaces is isomorphic to the category of filter merotopic spaces which were introduced by KatÄ›tov [3]. Theâ€¦ (More)