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The Griffiths double cone group is isomorphic to the triple
Samuel M. Corson
It is shown that the fundamental group of the Griffiths double cone space is isomorphic to that of the triple cone. More generally if is a cardinal such that $2 \leq κ\leq 2^{\…
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…
Bi-orders do not arise from total orders
Samuel M. Corson
We present some Zermelo-Fraenkel consistency results regarding bi-orderability of groups, as well as a construction of groups with Conradian orders whose every action on metric spa…
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…