Displaying 281 – 300 of 307

Showing per page

Topologically maximal convergences, accessibility, and covering maps

Szymon Dolecki, Michel Pillot (1998)

Mathematica Bohemica

Topologically maximal pretopologies, paratopologies and pseudotopologies are characterized in terms of various accessibility properties. Thanks to recent convergence-theoretic descriptions of miscellaneous quotient maps (in terms of topological, pretopological, paratopological and pseudotopological projections), the quotient characterizations of accessibility (in particular, those of G. T. Whyburn and F. Siwiec) are shown to be instances of a single general theorem. Convergence-theoretic characterizations...

Two-fold theorem on Fréchetness of products

Szymon Dolecki, Tsugunori Nogura (1999)

Czechoslovak Mathematical Journal

A refined common generalization of known theorems (Arhangel’skii, Michael, Popov and Rančin) on the Fréchetness of products is proved. A new characterization, in terms of products, of strongly Fréchet topologies is provided.

Warped compact foliations

Szymon M. Walczak (2008)

Annales Polonici Mathematici

The notion of the Hausdorffized leaf space ˜ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to ˜ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to ˜ is shown. Finally, some examples are examined.

Currently displaying 281 – 300 of 307