A note on complex K-theory of infinite CW-complexes

Zen-ichi YOSIMURA

doi:10.2969/jmsj/02620289

Zen-ichi YOSIMURA

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1974 Volume 26 Issue 2 Pages 289-295

DOI https://doi.org/10.2969/jmsj/02620289

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Published: 1974 Received: November 20, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: TITLE Details: Wrong : A note on complex K-theory of infinite CW-complexes
Right : A note on complex K-theory of infinite CW-complexes

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. W. Anderson and L. Hodgkin, The K-theory of Eilenberg-MacLane complexes, Topology 7 (1968), 317-329.
2) S. Araki and Z. Yosimura, A spectral sequence associated with a cohomology theory of infinite CW complexes, Osaka J. Math., 9 (1972), 351-365.
3) A. Dold, Relations between ordinary and extraordinary homology, Colloq. on algebraic topology, Aarhus Univ., 1962, 2-9.
4) S. Eilenberg and S. MacLane, Relation between homology and homotopy groups of spaces, II, Ann. of Math., 51 (1950), 514-533.
5) S. Eilenberg and J. A. Zilber, Semi-simplicial complexes and singular homology, Ann, of Math., 51 (1950), 499-513.
6) J. Milnor, The geometric realization of semi-simplicial complex, Ann, of Math., 65 (1957), 357-362.
7) J. W. Vick, Pontryagin duality in K-theory, Proc. Amer. Math. Soc., 24 (1970), 611-616.
8) Z. Yosimura, On cohomology theories of infinite CW-complexes, II, Publ. RIMS, Kyoto Univ., 8 (1972/73), 483-508.9] Z. Yosimura, Projective dimension of complex bordism modules of CW-spectra, I, Osaka J. Math., 10 (1973), 545-564.

Right : [1] D. W. Anderson and L. Hodgkin, The K-theory of Eilenberg-MacLane complexes, Topology 7 (1968), 317-329.
[2] S. Araki and Z. Yosimura, A spectral sequence associated with a cohomology theory of infinite CW-complexes, Osaka J. Math., 9 (1972), 351-365.
[3] A. Dold, Relations between ordinary and extraordinary homology, Colloq. on algebraic topology, Aarhus Univ., 1962, 2-9.
[4] S. Eilenberg and S. MacLane, Relation between homology and homotopy groups of spaces, II, Ann. of Math., 51 (1950), 514-533.
[5] S. Eilenberg and J. A. Zilber, Semi-simplicial complexes and singular homology, Ann. of Math., 51 (1950), 499-513.
[6] J. Milnor, The geometric realization of semi-simplicial complex, Ann. of Math., 65 (1957), 357-362.
[7] J. W. Vick, Pontryagin duality in K-theory, Proc. Amer. Math. Soc., 24 (1970), 611-616.
[8] Z. Yosimura, On cohomology theories of infinite CW-complexes, II, Publ. RIMS, Kyoto Univ., 8 (1972/73), 483-508.
[9] Z. Yosimura, Projective dimension of complex bordism modules of CW-spectra, I, Osaka J. Math., 10 (1973), 545-564.

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