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A characterisation of the absolute quasi-retracts in a class of acyclic continua

Published online by Cambridge University Press:  17 April 2009

V.N. Akis  and
D.W. Curtis
V.N. Akis
Affiliation:
California State University, Los Angeles, California 90032
D.W. Curtis
Affiliation:
Louisiana State University, Baton Rouge, Louisiana 70803
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Abstract

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The class of quasi-retracts of AR's (AQR's) was first considered by Stallings, who observed that every AQR has the fixed point property. More recently, it has been shown that the class of AQR's is closed with respect to the operations of taking cones, suspensions, or products with AR's, and that no AQR separates a Euclidean space. In this paper we show that every AQR is acyclic, and we obtain a simple, direct characterization of the AQR's in a certain class of acyclic continua.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 227 - 237
Copyright
Copyright © Australian Mathematical Society 1987

References

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