Higher order intersection numbers of 2-spheres in 4-manifolds.
Schneiderman, Rob, Teichner, Peter (2001)
Algebraic & Geometric Topology
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Schneiderman, Rob, Teichner, Peter (2001)
Algebraic & Geometric Topology
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Denise Halverson, Dušan Repovš (2013)
Open Mathematics
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We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint...
R. Osborne (1976)
Fundamenta Mathematicae
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Nelson, Roger B. (1990)
International Journal of Mathematics and Mathematical Sciences
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Rickman, Seppo (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Andrzej Bielecki (2000)
Annales Polonici Mathematici
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This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system...
W. Jakobsche (1983)
Fundamenta Mathematicae
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Anderson, James W., Canary, Richard D., McCullough, Darryl (2000)
Annals of Mathematics. Second Series
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M. G. Scharlemann, L. C. Siebenmann (1974)
Compositio Mathematica
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Richard Tondra (1980)
Fundamenta Mathematicae
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