Vaughan, Jerry

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There are 4 item/s.

TitleDateViewsBrief Description
Relative topological properties 2006 2186 "In this thesis we study the concepts of relative topological properties and give some basic facts and relations among them. Our main focus is on various versions of relative normality, relative regularity and relative compactness. We give examples w...
On [psi (kappa, Mu)] spaces with [kappa equals omega subscript 1] 2010 1239 S. Mrowka introduced a topological space [psi] whose underlying set is the natural numbers together with an infinite maximal almost disjoint family (MADF) of infinite subsets of natural numbers. A. Dow and J. Vaughan proved a number of results for si...
The 17th topological type of [omega-star] 2006 1791 "It has long been known, that omega-star is not homogeneous. In fact, it was proved by Frolik that the Čech-Stone growth of any non-pseudocompact space X is not homogeneous. Frolik's result, which was non-constructive" in nature, prompted intere...
A convergence theory approach to definitions of the integral 1974 405 As long ago as 200 B.C., the idea of the integral was known to Archimedes. More than two thousand years later, 1665, Sir Isaac Newton and Gottfried Leibniz simultaneously and independently invented the differential and integral calculus. It was almos...