Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ARENS, R.F. and EELLS, J.: On embedding uniform and topological spaces, Pacific J. Math., 6 (1956), 397–403.
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.
CLAPP, M.H.: On a generalization of absolute neighborhood retracts, Fund. Math., 70 (1971), 117–130.
DUGUNDJI, J.: On Borsuk’s extension of the Lefschetz-Hopf theorem, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., 25 (1977), 805–811.
EILENBERG, S. and STEENROD, N.: Foundation of algebraic topology, Princeton 1952.
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.
GAUTHIER, G.: La théorie des rétracts approximatifs et le théorème des points fixes de Lefschetz, Ph. D. Thesis Université de Montréal (1980).
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.
GAUTHIER, G. and GRANAS, A.: Notes sur le théorème de Lefschetz pour les ANR approximatifs, Coll. Math., to appear.
GÓRNIEWICZ, L.: Homological methods in fixed point theory of multi-valued maps, Dissertationes Math., 129 (1976), 1–71.
GRANAS, A.: Fixed point theorems for approximative ANR-s, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys., 16 (1968), 15–19.
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).
NOGUCHI, H.: A generalization of absolute neighborhood retracts, Ködai Math. Sem. Rep., 1 (1953) 20–22.
POWERS, M.: Fixed point theorems for non-compact approximative ANR-s, Fund. Math., 75 (1972), 61–68.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
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:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11152-8
Online ISBN: 978-3-540-38600-1
eBook Packages: Springer Book Archive