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The stability problem in shape and a Whitehead theorem in pro-homotopy
Author(s):
David A.
Edwards;
Ross
Geoghegan
Journal:
Bull. Amer. Math. Soc.
81
(1975),
438-440.
MSC (1970):
Primary 55D99
MathSciNet review:
0365562
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References |
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Additional information
References:
- 1.
- M. Artin and B. Mazur, Etale homotopy, Lecture Notes in Math., no. 100, Springer-Verlag, Berlin and New York, 1969. MR 39 #6883. MR 245577
- 2.
- K. Borsuk, Concerning homotopy properties of compacta, Fund. Math. 62 (1968), 223-254. MR 37 #4811. MR 229237
- 3.
- K. Borsuk, Fundamental retracts and extensions of fundamental sequences, Fund. Math. 64 (1969), 55-85; errata, ibid.64 (1969), 375. MR 39 #4841. MR 243520
- 4.
- K. Borsuk, Some remarks concerning the shape of pointed compacta, Fund. Math. 67 (1970), 221-240. MR 42 #1076. MR 266168
- 5.
- 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
- 6.
- D. A. Edwards and R. Geoghegan, Compacta weak shape equivalent to ANR's, Fund. Math. (to appear). MR 394643
- 7.
- D. A. Edwards and R. Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction (to appear). MR 375330
- 8.
- D. A. Edwards and R. Geoghegan, The stability problem in shape and a Whitehead theorem in pro-homotopy, Trans. Amer. Math. Soc. (to appear). MR 413095
- 9.
- R. H. Fox, On shape, Fund. Math. 74 (1972), no. 1, 47-71. MR 45 #5973. MR 296914
- 10.
- R. Geoghegan and R. C. Lacher, Compacta with the shape of finite complexes, Fund. Math. (to appear). MR 418029
- 11.
- S. Mardešić, On the Whitehead theorem in shape theory, Fund. Math. (to appear). MR 431156
- 12.
- C. T. C. Wall, Finiteness conditions for CW-complexes, Ann. of Math. (2) 81 (1965), 55-69. MR 30 #1515. MR 171284
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13777-3
PII:
S 0002-9904(1975)13777-3
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