Set Theoretic Topology: Mondays, Parker Hall 224, 3:00
Continuum Theory: Mondays, Parker Hall 224, 4:00
Stu Baldwin continues his talk on uniquely homogeneous subsets of R^n.
Stu Baldwin will continue his talk on uniquely homogeneous subsets of R^n.
Stu Baldwin will show us his construction, assuming Martin’s Axiom, of a Uniquely Homogeneous n-1 dimensional subset of R^n. (Martin’s Axiom is a set theoretic axiom weaker than the Continuum Hypothesis; Uniquely Homogeneous means that for any two points x and y in the space, there is one and only one autohomeomorphism of the space which sends x to y.)
Gary Gruenhage will present some joint results with George Kozlowski and Jan Boronski on 1/k homogeneous nonmetric solenoids.
Ana Mamatelashvili: Strengthenings of arc-connectedness
Abstract: A space is said to be n-arc connected if any n points are contained in an arc. I will show that a finite graph is 7-arc connected if and only if it is n-arc connected for every n if and only it is one of the six graphs that we can list out. If there is time I will also consider a further strengthening of this property, namely, requiring any countable set of points to be contained in an arc, and prove that there are only finitely many continua that satisfy this property.
Piotr Minc: "A weakly chainable uniquely arcwise connected continuum without the fixed point property" by Miroslaw Sobolewski