These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part …
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part …
This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representa…
We give several results on necessary and sufficient conditions for the existence of special classes of maps from one shift of finite type onto another of the same entropy. The classes we study include eventual right closing maps, common right closing extensions, and stable right…
This memoir describes the generic bifurcations from symmetric fixed points of families of involutory area preserving maps defined in the plane.
