ArticleOriginal scientific text

Title

Open maps between Knaster continua

Authors 1, 1, 1

Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY 40506, U.S.A.

Abstract

We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.

Keywords

continuum, degree, indecomposable, (induced) open mapping, semigroup, approximating sequence

Bibliography

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Pages:
119-148
Main language of publication
English
Received
1997-09-30
Accepted
1999-05-04
Published
1999
Exact and natural sciences