5 papers
Continuously homogeneous hereditarily indecomposable continua are tree-like
Jan Boroński, David Prier, Michel Smith +1
A topological space is continuously homogeneous if for any there exists a continuous surjection with . We show that continuously homogeneous hered…
Ample continua in Cartesian products of continua
J. P. Boroński, D. R. Prier, M. Smith
We show that the Cartesian product of the arc and a solenoid has the fupcon property, therefore answering a question raised by Illanes. This combined with Illanes' result implies t…
Integral Ricci curvature bounds for possibly collapsed spaces with Ricci curvature bounded from below
Michael Smith
Assuming a lower bound on the Ricci curvature of a complete Riemannian manifold, for we show the existence of bounds on the local norm of the Ricci curvature that de…
Continuous curves of nonmetric pseudo-arcs and semi-conjugacies to interval maps
Jan P. Boronski, Michel Smith
In 1985 M. Smith constructed a nonmetric pseudo-arc; i.e. a Hausdorff homogeneous, hereditary equivalent and hereditary indecomposable continuum. Taking advantage of a decompositio…
On the conjecture of Wood and projective homogeneity
Jan P. Boroński, Michel Smith
In 2005 Kawamura and Rambla, independently, constructed a metric counterexample to Wood's Conjecture from 1982. We exhibit a new nonmetric counterexample of a space , such…