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In algebraic topology, Steenrod homology is a homology theory for compact metric spaces introduced by Norman Steenrod ( 1940, 1941), based on regular cycles. It is similar to the homology theory introduced rather sketchily by Andrey Kolmogorov in 1936.[ attribution needed]

References

  • Milnor, John Willard (1995) [1961], "On the Steenrod homology theory", Novikov conjectures, index theorems and rigidity, Vol. 1 (Oberwolfach, 1993), London Math. Soc. Lecture Note Ser., vol. 226, Cambridge University Press, pp. 79–96, doi: 10.1017/CBO9780511662676.005, MR  1388297
  • Steenrod, Norman E. (1940), "Regular cycles of compact metric spaces", Annals of Mathematics, Second Series, 41 (4): 833–851, doi: 10.2307/1968863, ISSN  0003-486X, JSTOR  1968863, MR  0002544
  • Steenrod, Norman E. (1941), "Regular cycles of compact metric spaces", Lectures in Topology, Ann Arbor: University of Michigan Press, pp. 43–55, MR  0005298