Displaying similar documents to “Foliated groupoids”

Pontryagin algebra of a transitive Lie algebroid

Kubarski, Jan

Similarity:

[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials ( V g * ) I and the...

The Legendre transformation in differential spaces

Sasin, Wiesław, Multarzyński, Piotr

Similarity:

The Legendre transformations on differential spaces (in the sense of Sikorski) is studied, and some properties for spaces with singularities are investigated. A mechanical interpretation of the Legendre transformation is also given.

A closure condition which is equivalent to the Thomsen condition in quasigroups.

M. A. Taylor (1983)

Stochastica

Similarity:

In this note it is shown that the closure condition, XY = XY, XY = XY, XY = XY --> XY = XY, (and its dual) is equivalent to the Thomsen condition in quasigroups but not in general. Conditions are also given under which groupoids satisfying it are principal homotopes of cancellative, abelian semigroups, or abelian groups.