12 citations · 37 across the 25 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.CO2011★ 6 cited
On a Generalization of Zaslavsky's Theorem for Hyperplane Arrangements
Priyavrat Deshpande
We define arrangements of codimension-1 submanifolds in a smooth manifold which generalize arrangements of hyperplanes. When these submanifolds are removed the manifold breaks up i…
math.AT2011★ 12 cited
Arrangements of Submanifolds and the Tangent Bundle Complement
Priyavrat Deshpande
Drawing parallels with hyperplane arrangements, we develop the theory of arrangements of submanifolds. Given a smooth, finite dimensional, real manifold we consider a finite co…