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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Lipschitz functions on subspaces of Asplund generated spaces are generically virtually pseudo-regular
by
J.R. Giles
University of Newcastle, Australia
Coauthors: Scott Sciffer (University of Newcastle)

Locally Lipschitz functions on separable Banach spaces are generically pseudo-regular. A slightly weaker property holds on all Banach spaces which are closed subspaces of Asplund generated spaces. We deduce that for locally Lipschitz functions on such spaces the set of points of Gateaux but not strict differentiability is of the first category.

Date received: May 21, 2002

Copyright © 2002 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 # cait-19.