On Mahavier Products

Author

W. J. Charatonik, Missouri University of Science and TechnologyFollow
Robert Paul Roe, Missouri University of Science and TechnologyFollow

Abstract

It was agreed by some at the 2012 Spring Topology and Dynamics Conference that the name "Inverse limit with upper semi-continuous bonding functions" should be replaced with a shorter name "Mahavier product". We generalize further by replacing directed set with an arbitrary pre-ordered set. We will present some basic properties of this new concept as well as some examples and applications. In particular, we show that inverse limits, Cartesian products, and arbitrary intersections are special cases of the Mahavier product.

Recommended Citation

W. J. Charatonik and R. P. Roe, "On Mahavier Products," Proceedings of the 47th Spring Topology and Dynamics Conference (2013, New Britain, CT), Topology Atlas, Mar 2013.

Meeting Name

47th Spring Topology and Dynamics Conference (2013: Mar. 23-25, New Britain, CT)

Department(s)

Mathematics and Statistics

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Topology Atlas, All rights reserved.

Publication Date

25 Mar 2013