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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Subchainable Hereditarily Indecomposable Continua
by
Wayne Lewis
Texas Tech University

A continuum X is subchainable if every proper subcontinuum of X is chainable.

We prove the following.

THEOREM: If X = lim{ Xi, fij } is an inverse limit of one dimensional graphs Xi, there exists a continuum Y = lim{ Xi, gij } such that each bonding map gij is homotopic to the map fij and the continuum Y is subchainable and hereditarily indecomposable.

We also discuss the generalized homogeneity properties of subchainable chainable hereditarily indecomposable continua, as well as other mapping properties.

Date received: July 21, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caap-10.