Relative Nielsen theory for noncompact spaces and maps |
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| Authors: | Jan Andres |
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| Institution: | a Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc-Hej?ín, Czech Republic
b Department of Mathematics, Bates College, Lewiston, ME 04240, USA |
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| Abstract: | In this note, we generalize the various existing local and relative Nielsen type numbers to the setting of maps of noncompact ANR-pairs. Then we introduce general classes of admissible maps for which these numbers are well-defined. An application of these relative Nielsen numbers to differential equations is also given. |
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| Keywords: | primary 55M20 secondary 37C25 47H10 54H25 |
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