4 citations · 31 across the 31 of their papers we have counts for
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math.AT2009★ 1 cited
New Action-Induced Nested Classes of Groups and Jump (Co)homology
Nansen Petrosyan
Using fixed-point-free group actions, we set up a scheme to define nested classes of groups indexed over ordinals. Restricting to cellular actions on CW-complexes, we find new clas…
math.GT2009
Fiberwise volume decreasing diffeomorphisms on product manifolds
Dennis Dreesen, Nansen Petrosyan
Given a closed connected Riemannian manifold M and a connected Riemannian manifold N, we study fiberwise volume decreasing diffeomorphisms on the product M x N. Our main theorem sh…