4 papers
Covers of groups definable in o-minimal structures
Mario J. Edmundo
We develop in this paper the theory of covers for Hausdorff properly -definable manifolds with definable choice in an o-minimal structure . In particular, we show tha…
O-minimal cohomology and definably compact definable groups
Mario J. Edmundo
Let N be an o-minimal expansion of a real closed field. We develop cohomology theory for the category of N-definable manifolds and N-definable maps, and use this to solve the Peter…
Solvable groups definable in o-minimal structures
Mario J. Edmundo
Let N be an o-minimal structure. In this paper we develop group extension and group cohomology theory over N and use it to describe the N-definable solvable groups. We prove an o-m…
An introduction to o-minimal structures
Mario J. Edmundo
The first papers on o-minimal structures appeared in the mid 1980s, since then the subject has grown into a wide ranging generalisation of semialgebraic, subanalytic and subpfaffia…