# All Questions

100,979 questions
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### Mean sphere in hyperbolic 3-space

What would be the natural equivalent of the notion of a mean sphere at a point of a smooth surface when the surface no longer lives in the Euclidean 3-space but in the hyperbolic 3-space ?
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### Example of non accessible model categories

By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible in this sense (and just in case: even by using Vopěnka's ...
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### Do manifolds inherit topological proporties of their models?

Suppose a space is for example paracompact, then a manifold that modeled on it is paracompact? It seems that it is true but how we can show it. More general questions what topological properties ...
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### State of art of hyperfunction theory in solving partial differential equations

What are the advantages of 'representing distribution(or more generalized functions) as boundary value of holomorphic functions', and their use in solving pde?
Suppose $\Omega$ is a smooth bounded domain in $\mathbb{R}^3$. Consider the Newton potential $$T [\phi](x) = \int_{\Omega} \frac{1}{|x-y|} \phi(y)dy.$$ It is well know ...