Directory UMM :Journals:Journal_of_mathematics:DM:
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This paper gives a self contained proof of the perturbation theorem for invariant tori in Hamiltonian systems by Kolmogorov, Arnold, and Moser with sharp differentiability
4 Completion of the proof of the Wirthm¨ uller isomorphism 137 We illustrate the force of the formal Wirthm¨ uller isomorphism theorem of [2] by giv- ing a worked example of
A second key aspect of a proof of the 1-dimensional van Kampen theorem is the notion of commutative square in a groupoid, and the fact that horizontal and vertical, and indeed
The proof of May's uniqueness theorem (Ma4] Thm. 3) for functors dened from the category of permutative categories easily generalizes to show any two functors from SymMon to
The proof of Lemma 9 is based on the well-known Besicovitch theorem on possible values of upper and lower derivative numbers (see [1], Ch.IV,.. § 3) and is carried out analogously
An advantage of the fixed point results of Krasnoselskii’s type such as the result by Burton and Kirk employed in the proof of Theorem 1 is, above all, that they combine a
to give a self-contained proof of our Theorem 1 up to the knowledge of perfect powers in the Fibonacci and Lucas sequence [1]. It would be interesting to give a completely
Using the result that the group of isometries of a Finsler space is a Lie group, we reprove an important theorem of H.C.. It turns out that our proof is simpler and more direct
