Pacific Journal of Mathematics

Equivariant extensions of maps.

Jan W. Jaworowski

Article information

Source
Pacific J. Math., Volume 45, Number 1 (1973), 229-244.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102947720

Mathematical Reviews number (MathSciNet)
MR0320991

Zentralblatt MATH identifier
0253.54008

Subjects
Primary: 54C20: Extension of maps
Secondary: 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) [See also 55M15]

Citation

Jaworowski, Jan W. Equivariant extensions of maps. Pacific J. Math. 45 (1973), no. 1, 229--244. https://projecteuclid.org/euclid.pjm/1102947720


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References

  • [1] K. Borsuk, Theory of retracts, Monogr. Mat. 44, Warszawa 1967.
  • [2] A. H. Copeland, Jr. and J. de Groot, Linearization of homeomorphisms, Math. Ann., 144 (1961), 80-92.
  • [3] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math., 1 (1951), 69-77.
  • [4] E. E. Floyd, Examples of fixed point sets of periodic maps, Ann. of Math., 55 (1952), 167-171.
  • [5] A. Gleason, Spaces with a compact Lie group of transformations,Proc. Amer. Math. Soc, 1 (1950), 35-43.
  • [6] J. W. Jaworowski, Extensions of maps in spaces with periodichomeomorphisms, Bull. Amer. Math. Soc. (1972),
  • [7] O.-H. Keller, Die Homoimorphie der kompakten konvexen Mengen im Hilbertschen Raum, Math. Ann., 105 (1931), 748-758.
  • [8] J. M. Kister and L. N. Mann, Equivariant imbeddings of compact Abelian Lie groups of transformations,Math. Ann., 148 (1962), 89-93.
  • [9] V. L. Klee, Convex bodies and periodic homeomorphisms in the Hilbert space, Trans. Amer. Math. Soc, 74 (1953), 10-43.
  • [10] K. Kuratowski, Sur les espaces localment convexes et peaniens en dimensionn, Fund. Math., 24 (1935), 269-287.
  • [11] G. D. Mostow, Equivariantembeddings in Euclidean space, Ann. of Math., 65 (1957), 432-446.
  • [12] R. S. Palais, The classification of G-spaces, Mem. Amer. Math. Soc, 36, Providence, R. I., 1960.