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Universal quadratic forms and Whitney tower intersection invariants
Whitney towers twisted Whitney towers quadratic refinements Arf invariants Lie algebra
2012/7/11
The first part of this paper exposits a simple geometric description of the Kirby-Siebenmann invariant of a 4--manifold in terms of a quadratic refinement of its intersection form. This is the first i...
Topological and uniform structures on universal covering spaces
Universal covering maps uniform structures Algebraic Topology
2012/6/7
We discuss various uniform structures and topologies on the universal covering space $\widetilde X$ and on the fundamental group $\pi_1(X,x_0)$. We introduce a canonical uniform structure $CU(X)$ on a...
Galois and universal universal coverings of linear categories and fibre products
fibre product section Galois covering universal covering
2011/2/21
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.