Dear Colleagues,

We continue our Colloquium in the Math Department.

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Dusan Repovs

Institute for Mathematics, Physics and Mechanics,

University of Ljubljana, Ljubljana, Slovenia 1001

Monday, November 7, EMCS 422, 3:15 pm.

Topology of Wild Cantor Sets in $R^3$

Abstract. The first part of the talk will be a historical survey on wild
Cantor sets in $R^3$, the first such
set being constructed by Louis Antoine already in the 1920's in his
Dissertation, after he was blinded while
serving in the French army during WWI. In the second part of the talk we
shall present a new general technique for constructing wild Cantor sets in
$R^{3}$ which are nevertheless Lipschitz homogeneously embedded into $R^3$.
Applying the well-known Kauffman version of the Jones polynomial we shall
show that our construction produces even uncountably many topologically
inequivalent wild Cantor sets in $R^{3}$. These Cantor sets have the same
number of components in the interior of each stage of the defining sequence
and are Lipschitz homogenous. We shall also announce some other new results
on wild Cantor sets in $R^3$ and state some related open problems and
conjectures.

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Our next speakers will be Haiyan Wang, Department of Mathematical Sciences
and Applied Computing, Arizona State Univ.,
Phoenix, AZ, Friday, November 18, 2:00 pm., ``Positive Solutions of
Nonlinear Systems of Differential Equations"

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Boris P Belinskiy

Department of Mathematics, Dept. 6956

University of Tennessee at Chattanooga

Ph. (423) 425-4748