Abstract
Let G be a compact Lie group. An equivariant extension theorem for G-spaces with a finite structure is proved. This theorem is then used to give a characterization of G-ANR's and G-AR's for G-spaces with a finite structure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bredon, G.: Introduction to Compact Transformation Groups, Academic Press, New York 1972
Dugundji, J.: An extension of Tietze's Theorem, Pacific J. of Math. 1 (1951), 353–367
Jaworowski, J.: Extension of G-maps and Euclidean G-retracts, Math. Z. 146 (1976), 143–148
Jaworowski, J.: G-Spaces of a Finite Structure and Their Embedding in G-Vector Spaces, Acta Math. Acad. Sci. Hungar. (to appear)
Lashof, R.: The Equivariant Extension Theorem, Proc. Amer. Math. Soc. (to appear)
Palais, R.S.: The classification of G-spaces, Memoirs Amer. Math. Soc. 36 (1960)
Steenrod, N.: The Topology of Fibre Bundles, Princeton Univ. Press, Princeton 1951
Wojdyslawski, M.: Rétractes absolus et hyperspace des continus, Fund. Math. 32 (1939), 184–192
Author information
Authors and Affiliations
Additional information
The author gratefully acknowledge the support received from the Forschungsinstitut für Mathematik, ETH Zürich, during the preparation of this paper.
Rights and permissions
About this article
Cite this article
Jaworowski, J. An equivariant extension theorem and G-retracts with a finite structure. Manuscripta Math 35, 323–329 (1981). https://doi.org/10.1007/BF01263266
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01263266