Displaying similar documents to “Affine bijections of C(X,I)”

An affine framework for analytical mechanics

Paweł Urbański (2003)

Banach Center Publications

Similarity:

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

Self-affine fractals of finite type

Christoph Bandt, Mathias Mesing (2009)

Banach Center Publications

Similarity:

In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which...