Keywords
- Vector Bundle
- Clifford Algebra
- Fredholm Operator
- Homotopy Group
- Trivial Bundle
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References
J. F. Adams, A variant of E. H. Brown's representability theorem. Topology, 10 (1971), 185–198.
M. F. Atiyah, Bott periodicity and the index of elliptic operators. Quarterly J. Math. Oxford, 19 (1968), 113–140.
M. F. Atiyah and I. M. Singer, Index theory for skew-adjoint Fredholm operators. Publ. Math. Inst. des Hautes Etudes Scient. Paris, 37 (1969), 305–326.
M. G. Barratt and S. B. Priddy, On the homology of non-connected monoids and their associated groups. Comment. Math. Helvet., 47 (1972), 1–14.
E. H. Brown, Cohomology theories. Ann. of Math., 75 (1962), 467–484.
A. Dold and R. Thom, Quasifaserungen und unendliche symmetrische Produkte. Ann. of Math., 67 (1958), 239–281.
D. McDuff and G. Segal, Homology fibrations and the ‘group completion’ theorem. Inventiones math. 3. (1976), 279–284.
D. G. Quillen, Higher algebraic K-theory I. In: Algebraic K-theory I. Springer Lecture Notes 341 (1973).
G. B. Segal, Classifying spaces and spectral sequences. Publ. Math. Inst. des Hautes Etudes Scient. Paris, 34 (1968), 105–112.
G. B. Segal, Configuration spaces and iterated loop spaces. Inventiones math., 21 (1973), 213–221.
G. B. Segal, Categories and cohomology theories. Topology, 13 (1974), 293–312.
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© 1977 Springer-Verlag Berlin · Heidelberg
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Segal, G. (1977). K-homology theory and algebraic K-theory. In: Morrel, B.B., Singer, I.M. (eds) K-Theory and Operator Algebras. Lecture Notes in Mathematics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095706
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DOI: https://doi.org/10.1007/BFb0095706
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