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Covering maps that are not compositions of covering maps of lesser order |
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| Authors: | Jerzy Krzempek |
| Affiliation: | Institute of Mathematics, Silesian Technical University, Kaszubska 23, PL-44-100 Gliwice, Poland |
| Abstract: | In 1995 J.W. Heath asked which exactly  -to-one maps are compositions of exactly  -to-one maps with  . This paper deals with compositions of covering maps. Exactly  -to-one covering maps on locally arcwise connected continua that are not factorable into covering maps of order  are constructed for all  's, and characterized in algebraic terms (fundamental groups). They are not proper compositions of exactly  -to-one maps, open maps, or locally one-to-one maps. |
| Keywords: | Composition covering map locally one-to-one open exactly $k$-to-one map group action fundamental group |
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