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The wall obstruction in shape and pro-homotopy, with applications
Author(s):
David A.
Edwards;
Ross
Geoghegan
Journal:
Bull. Amer. Math. Soc.
81
(1975),
919-920.
MSC (1970):
Primary 55B99, 55D10;
Secondary 57A99
MathSciNet review:
0375331
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References |
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Additional information
References:
- 1.
- M. Artin and B. Mazur, Etale homotopy, Lecture Notes in Math., Vol. 100, Springer-Verlag, Berlin and New York, 1969. MR 39 #6883. MR 245577
- 2.
- A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math., Vol. 304, Springer-Verlag, Berlin and New York, 1972. MR 365573
- 3.
- D. A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. of Math. (to appear). MR 375330
- 4.
- D. A. Edwards and R. Geoghegan, Splitting homotopy idempotents (mimeographed).
- 5.
- P. Freyd, Splitting homotopy idempotents, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965), Springer-Verlag, New York, 1966. MR 34 #5894. MR 206069
- 6.
- L. C. Siebenmann, The obstruction to finding a boundary for an open manifold of dimension greater than five, Doctoral dissertation, Princeton University, 1965.
- 7.
- L. C. Siebenmann, Regular (or canonical) open neighborhoods, General Topology and Appl. 3(1973), 51-56. MR 370604
- 8.
- C. T. C. Wall, Finiteness conditions for CW-complexes, Ann. of Math. (2) 81 (1965), 56-69. MR 30 #1515. MR 171284
- 9.
- J. E. West, Compact ANR's have finite type, Bull. Amer. Math. Soc. 81 (1975), 163-165. MR 358791
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13886-9
PII:
S 0002-9904(1975)13886-9
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