Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from https://en.wikipedia.org/wiki/Pontryagin_cohomology_operation below:

Pontryagin cohomology operation - Wikipedia

From Wikipedia, the free encyclopedia

In mathematics, a Pontryagin cohomology operation is a cohomology operation taking cohomology classes in H²ⁿ(X,Z/p^rZ) to H^2pn(X,Z/p^r+1Z) for some prime number p. When p=2 these operations were introduced by Pontryagin (1942) and were named Pontrjagin squares by Whitehead (1949) (with the term "Pontryagin square" also being used). They were generalized to arbitrary primes by Thomas (1956).

• Steenrod operation

• Browder, William; Thomas, E. (1962), "Axioms for the generalized Pontryagin cohomology operations", The Quarterly Journal of Mathematics, Second Series, 13 (1): 55–60, doi:10.1093/qmath/13.1.55, ISSN 0033-5606, MR 0140103
• Malygin, S.N.; Postnikov, M.M. (2001) [1994], "Pontryagin square", Encyclopedia of Mathematics, EMS Press
• Pontryagin, L. (1942), "Mappings of the three-dimensional sphere into an n-dimensional complex", C. R. (Doklady) Acad. Sci. URSS, New Series, 34: 35–37, MR 0008135
• Thomas, Emery (1956), "A generalization of the Pontrjagin square cohomology operation", Proceedings of the National Academy of Sciences of the United States of America, 42 (5): 266–269, Bibcode:1956PNAS...42..266T, doi:10.1073/pnas.42.5.266, ISSN 0027-8424, JSTOR 89856, MR 0079254, PMC 528270, PMID 16589865
• Whitehead, J. H. C. (1949), "On simply connected, 4-dimensional polyhedra", Commentarii Mathematici Helvetici, 22: 48–92, doi:10.1007/bf02568048, ISSN 0010-2571, MR 0029171, S2CID 121723000

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4