180 research outputs found
Integrability of the Brouwer degree for irregular arguments
We prove that the Brouwer degree for a function
is in if , where is open and bounded and
is the box dimension of . This is supplemented by a theorem showing
that in implies
in
for the parameter regime , while there exist
convergent sequences in such that
for the opposite regime
.Comment: 29 pages, 7 figures; statement and proof of Theorem 1.1 corrected,
acknowledgments amende
Conjugations on 6-manifolds with free integral cohomology
In this article, we show the existence of conjugations on many
simply-connected spin 6-manifolds with free integral cohomology. In a certain
class the only condition on X^6 to admit a conjugation with fixed point set M^3
is the obvious one: the existence of a degree-halving ring isomorphism between
the Z_2-cohomologies of X and M.Comment: 23 page
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