GET THE APP

Homotopical Algebra | Open Access Journals
..

Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

Homotopical Algebra

Homotopic algebra in mathematics is a set of principles that include the nonabelian aspects of homological algebra as well as probably the abelian aspects as special cases. The homotopic nomenclature stems from the fact that a common approach to such generalizations is through the theory of abstract homotopy, as in nonabelian algebraic topology, and particularly the theory of closed model categories. Due to new fundamental research by Vladimir Voevodsky, Eric Friedlander, Andrei Suslin and others, this topic has received much attention in recent years , culminating in the A1 homotopy theory for quasiprojective varieties over a field. Voevodsky used this new theory of algebraic homotopy to prove Milnor 's theorem (for which he received the Fields Medal) and later, in collaboration with Marku the full Bloch–Kato conjecture.

High Impact List of Articles
Conference Proceedings

Relevant Topics in Science & Technology

Google Scholar citation report
Citations: 1282

Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report

Journal of Applied & Computational Mathematics peer review process verified at publons

Indexed In

arrow_upward arrow_upward