Examples of homological

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Then they are formally conjugated by a normalized transformation if and only if the associated homological equation is special.
Identifying various discourses in a particular period eld then enables homological connections and disjunctions to be posited - formal or structural claims of similarity and difference - between them.
While we cannot rule out such cross sections by homological arguments, the existence of such a cross section would seem to be of little practical value.
We can restict our homological calculations to the reduced spaces, as the values of the 'unreduced' spaces follow immediately.
Besides requiring that the center foliation has dimension two or less, we also require that the stable and unstable foliations carry certain homological information of the manifold.
Assume that the homological equation associated to 1 and 2 is special.
In this subsection we relate the formal conjugacy problem with the solvability of homological equations.
This point is of importance for homological reason.
If the stable manifold and unstable manifold are one-dimensional, then the homological condition is a condition on the homotopy class of the map.
A homological characterization of foliations consisting of minimal surfaces.
In this section we pursue the homological implications of these reductions.
This gives a necessary and sufficient condition for the regularity of the solution of the corresponding vector homological equation.
Then 1 and 2 are formally conjugated by a normalized transformation if and only if the homological equation associated to 1 and 2 is special.
Although many tools from homological algebra are not available for paracomplexes, the resulting theory is computable to some extent.
The proofs of his results require a considerable knowledge of homological methods.
Clearly a special homological equation is free of residues.
It follows from the homological identity that this extended is also a homomorphism.
However, a new feature in the equivariant theory is the fact that the basic objects are not complexes in the sense of homological algebra.

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