Title

A Brief Historical View of Continuum Theory

Abstract

We explore a few topics in continuum theory from their roots. Specifically, we examine the evolution of the definition of continuum and then restrict most of our attention to one-dimensional continua. Particular attention is paid to indecomposable continua, the fixed point property, hereditary equivalent continua, homogeneous continua, chainable continua and span of continua. in this paper, we give an inverse limit description of an indecomposable circle-like continuum that is homeomorphic to the first example of an indecomposable continuum given by L.E.J. Brouwer in 1910.

Department(s)

Mathematics and Statistics

Keywords and Phrases

chainable; circle-like; continuum; fixed point property; hereditarily equivalent; homogeneous; indecomposable; span

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Elsevier, All rights reserved.

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