On existence of tame Harrison map

Tame Arcs on Disks

It is the goal of this note to show that each disk in E3 contains a tame arc which intersects the boundary of D. In [l ] Bing shows that each disk in E3 contains many tame arcs. The reason that the arguments given in [l ] do not show that each disk contains a tame arc intersecting the boundary is that a disk in E3 need not lie on a closed surface in E3 [7]. This difficulty can be overcome using...

On Tame Dynamical Systems

A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of βN, or it is a “tame” topological space whose topology is determined by the convergence of sequences. In the latter case we say that the dynamical system is tame. We show that (i) a metric distal minimal system is tame ...

On Tame Enveloping Semigroups

A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of βN, or it is a “tame” topological space whose topology is determined by the convergence of sequences. In the latter case we say that the dynamical system is tame. We show that (i) a metric distal minimal system is tame ...

Harrison 21_3

The expression of certain CD44 variants has been linked with metastasis and tumour progression. In particular, high molecular weight forms of CD44 show restricted expression in tumours and may correlate with tumour development and metastasis. In this study, we examined the expression of CD44 variants in prostate cancer cell lines: the invasive PC-3 and DU-145, low invasive LNCaP, and two non-in...

Ann Harrison