Nielsen number of a covering map
We consider a finite regular covering pH:X˜H→X over a compact polyhedron and a map f:X→X admitting a lift f˜:X˜H→X˜H. We show some formulae expressing the Nielsen number N(f) as a linear combination of the Nielsen numbers of its lifts....
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-02-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/FPTA/2006/37807 |
| _version_ | 1819140716471779328 |
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| author | Jerzy Jezierski |
| author_facet | Jerzy Jezierski |
| author_sort | Jerzy Jezierski |
| collection | DOAJ |
| description | We consider a finite regular covering pH:X˜H→X over a compact polyhedron and a map f:X→X admitting a lift f˜:X˜H→X˜H. We show some formulae expressing the Nielsen number N(f) as a linear combination of the Nielsen numbers of its lifts. |
| first_indexed | 2024-12-22T11:42:59Z |
| format | Article |
| id | doaj.art-6462e2bfee894d83a3dd1354d6366f76 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-22T11:42:59Z |
| publishDate | 2006-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-6462e2bfee894d83a3dd1354d6366f762022-12-21T18:27:13ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-02-01200610.1155/FPTA/2006/37807Nielsen number of a covering mapJerzy JezierskiWe consider a finite regular covering pH:X˜H→X over a compact polyhedron and a map f:X→X admitting a lift f˜:X˜H→X˜H. We show some formulae expressing the Nielsen number N(f) as a linear combination of the Nielsen numbers of its lifts.http://dx.doi.org/10.1155/FPTA/2006/37807 |
| spellingShingle | Jerzy Jezierski Nielsen number of a covering map Fixed Point Theory and Applications |
| title | Nielsen number of a covering map |
| title_full | Nielsen number of a covering map |
| title_fullStr | Nielsen number of a covering map |
| title_full_unstemmed | Nielsen number of a covering map |
| title_short | Nielsen number of a covering map |
| title_sort | nielsen number of a covering map |
| url | http://dx.doi.org/10.1155/FPTA/2006/37807 |
| work_keys_str_mv | AT jerzyjezierski nielsennumberofacoveringmap |