In mathematics, the Eckmann–Hilton argument (or Eckmann–Hilton principle or Eckmann–Hilton theorem) is an argument about two unital magma structures on...

Eckmann–Hilton argument, an argument in mathematics about two monoid structures on a set where one is a homomorphism for the other The Hanoi Hilton (film)...

In 1955, Hilton started work with Beno Eckmann on what became known as Eckmann-Hilton duality for the homotopy category. Through Eckmann, he became...

Calabi–Eckmann manifolds, Eckmann–Hilton duality, the Eckmann–Hilton argument, and the Eckmann–Shapiro lemma are named after Eckmann. Eckmann's son is...

artist Eckmann–Hilton argument, mathematical concept Eckmann–Hilton duality, mathematical concept This page lists people with the surname Eckmann. If an...

2} , π n X {\displaystyle \pi _{n}X} are abelian groups by the Eckmann–Hilton argument, π 0 X {\displaystyle \pi _{0}X} can be identified with the set...

if it is a commutative monoid. The "only if" direction is the Eckmann–Hilton argument. Another class of semigroups forming medial magmas are normal bands...

operation and A with the given operation is an abelian group. See also Eckmann–Hilton argument. The strict 2-group is the group object in the category of small...

monoids) is just a commutative monoid. This follows easily from the Eckmann–Hilton argument. A monoid object in the category of complete join-semilattices...

greater, two homotopies can be "rotated" around each other. See Eckmann–Hilton argument. see Allen Hatcher#Books section 4.1. Husemoller, Dale (1994)....

component which is not connected to the domain or codomain and the Eckmann–Hilton argument does not apply. The idea is to represent structures of dimension...

a single object is the same thing as an ordinary monoid. By an Eckmann-Hilton argument, adding another monoidal product on M {\displaystyle M} requires...

priori independent from the one described above. However, the Eckmann–Hilton argument shows that it does in fact agree with the above concatenation of...

cohomology. Dold The Dold–Thom theorem. Eckmann–Hilton argument The Eckmann–Hilton argument. Eckmann–Hilton duality Eilenberg–MacLane spaces Given an...

object IG. The automorphism group of IG is an abelian group by the Eckmann–Hilton argument, written Aut(IG) or π2G. The fundamental group of G acts on either...

\pi _{n}X} is a group for n ≥ 1 {\displaystyle n\geq 1} . By the Eckmann-Hilton argument, π n X {\displaystyle \pi _{n}X} is abelian for n ≥ 2 {\displaystyle...

{\displaystyle Z^{Y}} . In algebraic topology, currying serves as an example of Eckmann–Hilton duality, and, as such, plays an important role in a variety of different...

are homotopically complete and cocomplete, and come with a built-in Eckmann–Hilton duality 1967 Daniel Quillen Homotopical algebra (published as a book...