Inverse Limits

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. This book begins with an introduction to inverse limits on [0,1] before moving to a general treatment of the subject. It examines special topics in continuum theory.

An elementary introduction to inverse limits through inverse limits on [0,1] is included in the first chapter The general theory of inverse limits is presented for compact Hausdorff spaces over directed sets using set valued functions in chapter two Special topics from continuum theory such as indecomposability are discussed in detail An appendix containing mostly an introduction to the topology of the Hilbert cube is included An extensive bibliography listing much of the literature on inverse limits is a part of the book Includes supplementary material: sn.pub/extras

Contenu

Inverse Limits on Intervals.- Inverse Limits in a General Setting.- Inverse Limits in Continuum Theory.- Brown's Approximation Theorem.- Appendix: An Introduction to the Hilbert Cube.- Bibliography.- Index.