The stability problem in shape and a Whitehead theorem in pro-homotopy
HTML articles powered by AMS MathViewer
- by David A. Edwards and Ross Geoghegan PDF
- Bull. Amer. Math. Soc. 81 (1975), 438-440
References
- M. Artin and B. Mazur, Etale homotopy, Lecture Notes in Mathematics, No. 100, Springer-Verlag, Berlin-New York, 1969. MR 0245577, DOI 10.1007/BFb0080957
- Karol Borsuk, Concerning homotopy properties of compacta, Fund. Math. 62 (1968), 223β254. MR 229237, DOI 10.4064/fm-62-3-223-254
- Karol Borsuk, Fundamental retracts and extensions of fundamental sequences, Fund. Math. 64 (1969), 55-85; errata, ibid. 64 (1969), 375. MR 0243520, DOI 10.4064/fm-64-1-55-85
- Karol Borsuk, Some remarks concerning the shape of pointed compacta, Fund. Math. 67 (1970), 221β240. MR 266168, DOI 10.4064/fm-67-2-221-240
- A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, Vol. 304, Springer-Verlag, Berlin-New York, 1972. MR 0365573, DOI 10.1007/978-3-540-38117-4
- David A. Edwards and Ross Geoghegan, Compacta weak shape equivalent to ANRβs, Fund. Math. 90 (1975/76), no.Β 2, 115β124. MR 394643, DOI 10.4064/fm-90-2-115-124
- David A. Edwards and Ross Geoghegan, Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction, Ann. of Math. (2) 101 (1975), 521β535. MR 375330, DOI 10.2307/1970939
- David A. Edwards and Ross Geoghegan, The stability problem in shape, and a Whitehead theorem in pro-homotopy, Trans. Amer. Math. Soc. 214 (1975), 261β277. MR 413095, DOI 10.1090/S0002-9947-1975-0413095-6
- Ralph H. Fox, On shape, Fund. Math. 74 (1972), no.Β 1, 47β71. MR 296914, DOI 10.4064/fm-74-1-47-71
- Ross Geoghegan and R. C. Lacher, Compacta with the shape of finite complexes, Fund. Math. 92 (1976), no.Β 1, 25β27. MR 418029, DOI 10.4064/fm-92-1-25-27
- James Keesling, On the Whitehead theorem in shape theory, Fund. Math. 92 (1976), no.Β 3, 247β253. MR 431156, DOI 10.4064/fm-92-3-247-253
- C. T. C. Wall, Finiteness conditions for $\textrm {CW}$-complexes, Ann. of Math. (2) 81 (1965), 56β69. MR 171284, DOI 10.2307/1970382
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 438-440
- MSC (1970): Primary 55D99
- DOI: https://doi.org/10.1090/S0002-9904-1975-13777-3
- MathSciNet review: 0365562