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The minimal genus problem for elliptic surfaces
4-manifold elliptic surface diffeomorphism group minimal genus
2012/6/25
We partly solve the minimal genus problem for embedded surfaces in the case of elliptic 4-manifolds. This involves a certain restricted transitivity property of the action of the orientation preservin...
On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
Problem with almost everywhere equality
measurability almost everywhere equality metrizable space measurable space measurable function measurable set
2011/8/29
Abstract: A topological space $Y$ is said to have (AEEP) if the following condition is fulfilled. Whenever $(X,\mathfrak{M})$ is a measurable space and $f, g: X \to Y$ are two measurable functions, th...
The Skorohod oblique reflection problem in time-dependent domains
The Skorohod oblique reflection problem time-dependent domains
2010/11/15
The deterministic Skorohod problem plays an important role in the construction and analysis of diffusion processes with reflection. In the form studied here, the multidimensional Skorohod problem was...
In this paper we obtain an algorithm towards solving the two-dimensional moment problem. This algorithm gives the necessary and sufficient conditions for the solvability of the moment problem. It is s...