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.

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