1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.GN2014★ 1 cited
A note on hyperspaces and the compact-open topology
Federico Cantero
We prove that the inclusion of map(X,Y) into map(K(X),K(Y)) is continuous, where K(X) is the space of non-empty compact subsets of X (also known as the hyperspace of compact subset…
math.AT2014
On homological stability for configuration spaces on closed background manifolds
Federico Cantero, Martin Palmer
We introduce a new map between configuration spaces of points in a background manifold - the replication map - and prove that it is a homology isomorphism in a range with certain c…