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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Differentiability as Continuity
by
Frederic Mynard
Georgia Southern University
Coauthors: David Gauld (Auckland University)

It is well known that there are no topologies a, b on R such that a map f:R→ R is differentiable if and only if f:(R, a)→(R, b) is continuous. However, a map [^f] can be canonically associated to f so that f is differentiable if and only if [^f] is continuous. This way, part of Calculus can be interpreted in topological terms.

Date received: February 9, 2006

Copyright © 2006 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 # caqs-33.