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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 282–295
DOI: https://doi.org/10.4213/mzm2809 (Mi mzm2809) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Relative Preimage Problem

O. D. Frolkina

M. V. Lomonosov Moscow State University
Full-text PDF (472 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm2809
Abstract: We pose the problem of minimization for the relative preimage problem and prove a minimization theorem. The relative common preimage problem for a finite system of maps, whose particular cases are the relative coincidence and common root problems for finitely many maps, is reduced to the relative preimage problem. As corollaries, results concerning the relative coincidence problems for two maps, problems of fixed points and roots are obtained; these results, with certain distinctions, can be found in known papers by other authors.
Keywords: smooth manifold, map of pairs, preimage points, minimization problem, Nielsen numbers, fixed point, common roots.
Received: 30.03.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 272–283
DOI: https://doi.org/10.1007/s11006-006-0136-1
Bibliographic databases:
UDC: 515.126
Language: Russian
Citation: O. D. Frolkina, “Relative Preimage Problem”, Mat. Zametki, 80:2 (2006), 282–295; Math. Notes, 80:2 (2006), 272–283
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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