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Nielsen numbers and pullbacks

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Publication:1822378
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DOI10.1016/0166-8641(87)90026-5zbMath0618.55002OpenAlexW2022314081MaRDI QIDQ1822378

C. Morgan, Renzo A. Piccinini, Philip R. Heath

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90026-5


zbMATH Keywords

fixed pointpullbackANRLefschetz numbersReidemeister numbersNielsen numbersfiber-preserving mapHurewicz fiber space


Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Fiber spaces in algebraic topology (55R05)


Related Items (3)

Rational Reidemeister trace of an outer automorphism of finite order ⋮ The multiplicativity of fixed point invariants ⋮ A Nielsen type number for fibre preserving maps



Cites Work

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  • Fixed point classes of a fiber map
  • Groupoids and the Mayer-Vietoris sequence
  • Product formulae for Nielsen numbers of fibre maps
  • The Nielsen number of a fibre map
  • Fixed points and fibre maps
  • On fibre spaces and the evaluation map
  • Corrections to The Nielsen number of a fibre map
  • Lectures on Nielsen fixed point theory
  • On the Least Number of Fixed Points
  • Recent results in the fixed point theory of continuous maps


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