10 papers
On projections of the tails of a power
Samuel M. Corson, Saharon Shelah
Let be an inaccessible cardinal, be a universal algebra, and be the equivalence relation on of eventual equality. From mild assumptions o…
A widely connected topological space made from diamond
Samuel M. Corson
We give the construction of an infinite topological space with unusual properties. The space is regular, separable, and connected, but removing any nonempty open set leaves the rem…
The independence of Stone's Theorem from the Boolean Prime Ideal Theorem
Samuel M. Corson
We give a permutation model in which Stone's Theorem (every metric space is paracompact) is false and the Boolean Prime Ideal Theorem (every ideal in a Boolean algebra extends to a…
A Nunke type classification in the locally compact setting
Samuel M. Corson, Olga Varghese
In this short note we prove that a group G is lcH-slender -- that is, every abstract group homomorphism from a locally compact Hausdorff topological group to G has an open kernel -…
Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups
Oleg Bogopolski, Samuel M. Corson
We describe homomorphisms for which the codomain is acylindrically hyperbolic and the domain is a topological group which is either completely metrizable or loca…
Strongly bounded groups of various cardinalities
Samuel M. Corson, Saharon Shelah
Strongly bounded groups are those groups for which every action by isometries on a metric space has orbits of finite diameter. Many groups have been shown to have this property, an…