J. Aust. Math. Soc.
81 (2006), 4961

Strict convexity of sets in analytic terms

Leoni Dalla
The University of Athens
Department of Mathematics
Panepistemiopolis 15784
Athens
Greece
ldalla@math.uoa.gr



Telemachos Hatziafratis
The University of Athens
Department of Mathematics
Panepistemiopolis 15784
Athens
Greece
thatziaf@math.uoa.gr



Abstract

We compare the geometric concept of strict
convexity of open subsets of with the analytic concept of
2strict convexity, which is based on the defining
functions of the set, and we do this by
introducing the class of
strictly convex sets. We also describe an
exhaustion process of convex sets by a sequence
of 2strictly convex sets.

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