Fixed point theorems for approximative ANR’s

ARENS, R.F. and EELLS, J.: On embedding uniform and topological spaces, Pacific J. Math., 6 (1956), 397–403.
Article MathSciNet MATH Google Scholar
BORSUK, K.: On the Lefschetz-Hopf fixed point theorem for nearly extendable maps, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., 23 (1975) 1273–1279.
MathSciNet MATH Google Scholar
CLAPP, M.H.: On a generalization of absolute neighborhood retracts, Fund. Math., 70 (1971), 117–130.
MathSciNet MATH Google Scholar
DUGUNDJI, J.: On Borsuk’s extension of the Lefschetz-Hopf theorem, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., 25 (1977), 805–811.
MathSciNet MATH Google Scholar
EILENBERG, S. and STEENROD, N.: Foundation of algebraic topology, Princeton 1952.
Google Scholar
FOURNIER G. and GRANAS A.: The Lefschetz fixed point theorem for some classes of non metrizable spaces, J. Math. Pures et Appl., 52 (1973), 271–284.
MathSciNet MATH Google Scholar
GAUTHIER, G.: La théorie des rétracts approximatifs et le théorème des points fixes de Lefschetz, Ph. D. Thesis Université de Montréal (1980).
Google Scholar
GAUTHIER, G.: Le théorème des points fixes de lefschetz pour les NE-applications des espaces compacts non métrisables, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., to appear.
Google Scholar
GAUTHIER, G. and GRANAS, A.: Notes sur le théorème de Lefschetz pour les ANR approximatifs, Coll. Math., to appear.
Google Scholar
GÓRNIEWICZ, L.: Homological methods in fixed point theory of multi-valued maps, Dissertationes Math., 129 (1976), 1–71.
MathSciNet MATH Google Scholar
GRANAS, A.: Fixed point theorems for approximative ANR-s, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., 16 (1968), 15–19.
MathSciNet MATH Google Scholar
GRANAS, A.: Points fixes pour les applications compactes: espaces de Lefschetz et la théorie de l’indice, Les Presses de l’Université de Montréal, Montréal (1980).
MATH Google Scholar
NOGUCHI, H.: A generalization of absolute neighborhood retracts, Ködai Math. Sem. Rep., 1 (1953) 20–22.
Article MathSciNet MATH Google Scholar
POWERS, M.: Fixed point theorems for non-compact approximative ANR-s, Fund. Math., 75 (1972), 61–68.
MathSciNet MATH Google Scholar

Download references

Author information

Authors and Affiliations

Université du Québec à Chicoutimi, Chicoutimi, Québec, Canada
Gilles Gauthier

Authors

Gilles Gauthier
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Edward Fadell Gilles Fournier

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Gauthier, G. (1981). Fixed point theorems for approximative ANR’s. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092178

Download citation

DOI: https://doi.org/10.1007/BFb0092178
Published: 07 October 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11152-8
Online ISBN: 978-3-540-38600-1
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Fixed point theorems for approximative ANR’s

Access this chapter

Preview

References