Brown's Approximation Theorem

Author

William Thomas Ingram, Missouri University of Science and TechnologyFollow
William S. Mahavier

Abstract

This chapter is devoted to an approximation theorem that allows certain adjustments of the bonding mappings in an inverse limit sequence without altering the topology of the inverse limit. We apply this fundamental result to show that if f is a mapping of an interval J onto itself that is the union of two monotone maps from nonoverlapping subintervals onto J, then the inverse limit using f as a single bonding map is the familiar BJK horseshoe. © Springer Science+Business Media, LLC 2012.

Recommended Citation

W. T. Ingram and W. S. Mahavier, "Brown's Approximation Theorem," Developments in Mathematics, vol. 25, pp. 155 - 165, Springer, Apr 2012.

The definitive version is available at https://doi.org/10.1007/978-1-4614-1797-2_4

Department(s)

Mathematics and Statistics

International Standard Book Number (ISBN)

978-146141796-5

International Standard Serial Number (ISSN)

1389-2177

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

16 Apr 2012