Note on compatible vector topologies

Compatible topologies and bornologies on modules

Compatible topologies and bornologies on modules are introduced and studied.

A Note on the Comparison of Topologies

A considerable problemof some bitopological covering properties is the bitopological unstability with respect to the presence of the pairwise Hausdorff separation axiom. For instance, if the space is RR-pairwise paracompact, its two topologies will collapse and revert to the unitopological case. We introduce a new bitopological separation axiom τS2σ which is appropriate for the study of the bit...

Order-compatible Topologies on a Partially Ordered Set

Locally Quasi-Convex Compatible Topologies on a Topological Group

For a locally quasi-convex topological abelian group (G, τ), we study the poset C (G, τ) of all locally quasi-convex topologies on G that are compatible with τ (i.e., have the same dual as (G, τ)) ordered by inclusion. Obviously, this poset has always a bottom element, namely the weak topology σ(G, Ĝ). Whether it has also a top element is an open question. We study both quantitative aspects of ...

Note: Vector Bundles on Curves

The information above on email or mailbox is obsolete. Thanks to Ulrich Görtz for providing me with a copy of the original postscript file. Lectures by Gerd Faltings held in Bonn 1995 Notes by Michael Stoll Comments, remarks, questions etc. inserted by me are set in slanted. Contributions by other people are set in sans serif and marked by their initials: ck] Christian Kaiser Since these notes ...