From Wikipedia, the free encyclopedia
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