Atlas home || Conferences | Abstracts | about Atlas

SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

View Abstracts
Conference Homepage

(Non)Invariant Measures for Quasicontinuous Maps
by
Annalisa Crannell
Franklin & Marshall College
Coauthors: Marc Frantz (Indiana University)

Quasicontinuous maps (as defined by Kempisty in 1932) preserve many of the nice topological properties of interest to dynamicists. Therefore, these functions may provide a bridge between topological dynamics of continuous functions and measure-theoretic dynamics. The set of continuities of a quasicontinuous map is large in the sense that it must be residual, but the set of discontinuities of such a map can have positive-even full-Lebesgue measure. A single discontinuity could mean the lack of an invariant measure for the quasicontinuous map, but using relations to define equivalence classes of quasicontinous maps provides hope for ensuring an invariant measure.

Date received: May 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-88.