TRIANGLE GEOMETRY/TOPOLOGY SEMINAR
SECOND ANNOUNCEMENT
DATE:
LOCATION: Hempfield High
School,
Room 213 (directions attached)
followed by dinner at “Bube’s
Brewery,”
"Stone-Cech Compactifications of
G-Bundles"
ABSTRACT: If B
is a completely regular space and F is a finite set, the
Stone-Cech compactification of F
x B is just F x \beta(B). Now replace
the
product F x B by a bundle p : E --> B (a surjective local homeomorph-
ism) with
finite fibre F. While the compactified
bundle still has finite fibres
of size
no larger than |F|, it may contain degenerate fibres
of size strictly less
than
|F|. In the case of a G-bundle, G a finite group, this occurs
precisely
when the
bundle has infinite sectional category. (This is joint work with
David
Feldman).
EVERYONE WELCOME
PLEASE FORWARD THIS ANNOUNCEMENT TO ANYONE
INTERESTED
The Triangle Geometry/Topology Seminar is
sponsored jointly by