A middle-distance look at root theory

Robert Brown

Banach Center Publications (1999)

  • Volume: 49, Issue: 1, page 29-41
  • ISSN: 0137-6934

How to cite


Brown, Robert. "A middle-distance look at root theory." Banach Center Publications 49.1 (1999): 29-41. <http://eudml.org/doc/208967>.

author = {Brown, Robert},
journal = {Banach Center Publications},
keywords = {Nielsen number; covering space},
language = {eng},
number = {1},
pages = {29-41},
title = {A middle-distance look at root theory},
url = {http://eudml.org/doc/208967},
volume = {49},
year = {1999},

AU - Brown, Robert
TI - A middle-distance look at root theory
JO - Banach Center Publications
PY - 1999
VL - 49
IS - 1
SP - 29
EP - 41
LA - eng
KW - Nielsen number; covering space
UR - http://eudml.org/doc/208967
ER -


  1. [B1] R. Brooks, Coincidences, roots and fixed points, Doctoral Dissertation, Univ. of Calif., Los Angeles, 1967 
  2. [B2] R. Brooks, On the sharpness of the Δ 2 and Δ 1 Nielsen numbers, J. Reine Angew. Math. 259 (1973), 101-108. 
  3. [B3] R. Brooks, Certain subgroups of the fundamental group and the number of roots of f(x) = a, Amer. J. Math. 95 (1973), 720-728. Zbl0319.55015
  4. [BB] R. Brooks and R. Brown, A lower bound for the Δ-Nielsen number, Trans. Amer. Math. Soc. 143 (1969), 555-564 . Zbl0196.26603
  5. [BO] R. Brooks and C. Odenthal, Nielsen numbers for roots of maps of aspherical manifolds, Pacific J. Math. 170 (1995), 405-419. Zbl0851.55003
  6. [K] T. Kiang, The Theory of Fixed Point Classes, Springer, 1989. Zbl0676.55001
  7. [L] X. Li, On the root classes of mapping, Acta Math. Sinica 2 (1986), 199-206. Zbl0618.55001
  8. [R] B. Rushing, Topological Embeddings, Academic Press, 1973. 
  9. [S] H. Schirmer, Mindestzahlen von Koinzidenzpunkten, J. Reine Angew. Math. 194 (1955), 659-671. 

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