Homomorphisms into N * |
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Authors: | Adams and Strauss |
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Institution: | (1) Department of Mathematics University of Hull Hull HU6 7RX, UK, GB;(2) Department of Pure Mathematics University of Hull Hull HU6 7RX, UK d.strauss@hull.ac.uk, GB |
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Abstract: | We study the properties of continuous homomorphisms from β S into N
*
and from N
*
into N
*
. We show that the image C of N
*
under a continuous homomorphism which does not arise from the continuous extension of a homomorphism mapping N to itself, has the property that C+C is a singleton. |
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Keywords: | |
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