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Spaces of the same clone type
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1996 Volume 48 Issue 4 Pages 705-714
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- Published: 1996 Received: November 05, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J.F. Adams, An example in homotopy theory, Proc. Cambridge Philos. Soc., 53 (1957), 922-923.
2) A.K. Bousfield and D.M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Math., 304, 1972.
3) F.R. Cohen, Two primary analogues of Selick's theorem and the Kahn-Priddy theorem for the 3-sphere. Topology, 23 (1984), 401-422.
4) F.R. Cohen, J.C. Moore and J.A. Neisendorfer, Torsions in homotopy groups, Ann. of Math., 109 (1979), 121-168.
5) B. Gray and C.A. McGibbon, Universal phantom maps, Topology, 32 (1993), 371-394.
6) J.R. Harper and J. Roitberg, Phantom maps and spaces of the same n-types for all n, J. Pure Appl. Algebra, 80 (1992), 123-137.
7) C.A. McGibbon, Clones of spaces and maps in homotopy theory, Comment. Math. Helv., 68 (1993), 263-277.
8) C.A. McGibbon, Loop spaces and phantom maps, Contemp. Math., 146 (1993), 297-308.
9) C.A. McGibbon and J.M. M∅ller, On spaces with the same n-type for all n, Topology, 31 (1992), 177-201.
10) C.A. McGibbon and J.M. M∅ller, How can you tell two spaces apart when they have the same n-type for all n?, Proc. J.F. Adams Mem. Symp. London Math. Soc. L.N., 176, Cambridge Univ. Press, 1992, pp. 131-143.
11) W. Meier, Pullback theorems and phantom maps, Quart. J. Math., 29 (1978), 469-481.
12) J.A. Neisendorfer, 3-primary exponents, Math. Proc. Cambridge Philos. Soc., 90 (1981), 63-83.
13) N. Oda and Y. Shitanda, Localization, completion and detecting equivariant maps on skeletons, Manuscripta Math., 65 (1989), 1-18.
14) J. Roitberg, Phantom maps and torsion, to appear in Topology Appl..
15) J. Roitberg, Computing homotopy classes of phantom maps, preprint.
16) Y. Shitanda, Uncountably many loop spaces of the same n-type for all n, I, Yokohama Math. J., 41 (1993), 17-24.
17) Y. Shitanda, Uncountably many infinite loop spaces of the same n-type for all n, Math. J. Okayama Univ., 34 (1992), 217-223.
18) Y. Shitanda, Phantom maps and monoids of endomorphisms of K(Z, m)×Sn, Publ. Res. Inst. Math. Sci., Kyoto Univ., 29 (1993), 397-409.
19) D. Sullivan, Geometric Topology, Part 1, Localization, Periodicity and Galois symmetry, MIT Notes, 1970.
20) C. Wilkerson, Classification of the same n-type for all n, Proc. Amer. Math. Soc., 60 (1976), 279-285.
21) C. Wilkerson, Applications of minimal simplicial groups, Topology, 15 (1976), 111-130.
22) A. Zabrodsky, p-equivalences and homotopy type, Lecture Notes in Math., 418, Springer, 1974, pp. 160-171.
23) A. Zabrodsky, On phantom maps and a theorem of H. Miller, Israel J. Math., 58 (1987), 129-143.
Right : [1] J. F. Adams, An example in homotopy theory, Proc. Cambridge Philos. Soc., 53 (1957), 922-923.
[2] A. K. Bousfield and D. M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Math., 304, 1972.
[3] F. R. Cohen, Two primary analogues of Selick's theorem and the Kahn-Priddy theorem for the 3-sphere. Topology, 23 (1984), 401-422.
[4] F. R. Cohen, J. C. Moore and J. A. Neisendorfer, Torsions in homotopy groups, Ann. of Math., 109 (1979), 121-168.
[5] B. Gray and C. A. McGibbon, Universal phantom maps, Topology, 32 (1993), 371-394.
[6] J. R. Harper and J. Roitberg, Phantom maps and spaces of the same n-types for all n, J. Pure Appl. Algebra, 80 (1992), 123-137.
[7] C. A. McGibbon, Clones of spaces and maps in homotopy theory, Comment. Math. Helv., 68 (1993), 263-277.
[8] C. A. McGibbon, Loop spaces and phantom maps, Contemp. Math., 146 (1993), 297-308.
[9] C. A. McGibbon and J. M. M∅ller, On spaces with the same n-type for all n, Topology, 31 (1992), 177-201.
[10] C. A. McGibbon and J. M. M∅ller, How can you tell two spaces apart when they have the same n-type for all n?, Proc. J. F. Adams Mem. Symp. London Math. Soc. L. N., 176, Cambridge Univ. Press, 1992, pp. 131-143.
[11] W. Meier, Pullback theorems and phantom maps, Quart. J. Math., 29 (1978), 469-481.
[12] J. A. Neisendorfer, 3-primary exponents, Math. Proc. Cambridge Philos. Soc., 90 (1981), 63-83.
[13] N. Oda and Y. Shitanda, Localization, completion and detecting equivariant maps on skeletons, Manuscripta Math., 65 (1989), 1-18.
[14] J. Roitberg, Phantom maps and torsion, to appear in Topology Appl..
[15] J. Roitberg, Computing homotopy classes of phantom maps, preprint.
[16] Y. Shitanda, Uncountably many loop spaces of the same n-type for all n, I, Yokohama Math. J., 41 (1993), 17-24.
[17] Y. Shitanda, Uncountably many infinite loop spaces of the same n-type for all n, Math. J. Okayama Univ., 34 (1992), 217-223.
[18] Y. Shitanda, Phantom maps and monoids of endomorphisms of K(Z, m)×Sn, Publ. Res. Inst. Math. Sci., Kyoto Univ., 29 (1993), 397-409.
[19] D. Sullivan, Geometric Topology, Part 1, Localization, Periodicity and Galois symmetry, MIT Notes, 1970.
[20] C. Wilkerson, Classification of the same n-type for all n, Proc. Amer. Math. Soc., 60 (1976), 279-285.
[21] C. Wilkerson, Applications of minimal simplicial groups, Topology, 15 (1976), 111-130.
[22] A. Zabrodsky, p-equivalences and homotopy type, Lecture Notes in Math., 418, Springer, 1974, pp. 160-171.
[23] A. Zabrodsky, On phantom maps and a theorem of H. Miller, Israel J. Math., 58 (1987), 129-143.
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