## Pacific Journal of Mathematics

### Mappings between ${\rm ANR}$s that are fine homotopy equivalences.

William E. Haver

#### Article information

Source
Pacific J. Math. Volume 58, Number 2 (1975), 457-461.

Dates
First available in Project Euclid: 8 December 2004

https://projecteuclid.org/euclid.pjm/1102905677

Mathematical Reviews number (MathSciNet)
MR0385865

Zentralblatt MATH identifier
0311.55006

Subjects
Primary: 57A15

#### Citation

Haver, William E. Mappings between ${\rm ANR}$s that are fine homotopy equivalences. Pacific J. Math. 58 (1975), no. 2, 457--461.https://projecteuclid.org/euclid.pjm/1102905677

#### References

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• [4] S. T. Hu, Theory of Retracts, Wayne State University Press, Detroit, 1965.
• [5] G. Kozlowski, Factorization of certain maps up to homotopy, Proc. Amer. Math. Soc, 21 (1969), 88-92.
• [6] R. C. Lacher, Cell-like mappings I, Pacific J. Math., 30 (1969).
• [7] R. C. Lacher, Cell-like mappings of NRs, Bull. Amer. Math. Soc, 74 (1968), 933-935.
• [8] S. Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc, 8 (1957), 604-610.
• [9] J. West, Compact ANR's have finite type, Bull. Amer. Math. Soc, 81 (1975), 163-165.