First return path derivatives

O’Malley, Richard J.

doi:10.1090/S0002-9939-1992-1097349-4

First return path derivatives

Author: Richard J. O’Malley
Journal: Proc. Amer. Math. Soc. 116 (1992), 73-77
MSC: Primary 26A24; Secondary 26A21
DOI: https://doi.org/10.1090/S0002-9939-1992-1097349-4
MathSciNet review: 1097349
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Abstract: A new type of path system is introduced. It is motivated by the Poincaré, first return, map of differentiable dynamics. Thus such systems are labeled first return path systems. It is shown that, though these are extremely thin paths, the systems possess interesting intersection properties that make the corresponding differentiation theory as rich as much thicker path systems.

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