Inverse Limits of Upper Semi-Continuous Set Valued Functions

Abstract

In this article we define the inverse limit of an inverse sequence (X 1, f 1), (X 2, f 2), (X 3, f 3),... where each X i is a compact Hausdorff space and each f i is an upper semi-continuous function from X i+1 into 2 Xi. Conditions are given under which the inverse limit is a Hausdorff continuum and examples are given to illustrate the nature of these inverse limits. © 2006 University of Houston.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Inverse limits; Set-valued functions

International Standard Serial Number (ISSN)

0362-1588

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 University of Houston, All rights reserved.

Publication Date

15 May 2006

This document is currently not available here.

Share

 
COinS