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math.GN2017
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…
math.DG2017
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…
math.GN2017
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…