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Locally Finite Completions of Polyhedral Complexes
We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed...
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Locally Convex Spaces
Recall that Theorems 2.6.4 and 2.6.7 established the HB...
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The Cantor Set
This chapter is a detailed treatise on the Cantor set. It starts with a thorough discussion on the basic properties of this set. Then we present a...
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On the Space of Open Maps of the Cantor Set
We consider the space Ψ( C ) of equivalence classes of continuous open maps defined on the Cantor set C and endowed with the Vietoris topology. It is...
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A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations
In transient simulations of particulate Stokes flow, to accurately capture the interaction between the constituent particles and the confining wall,...
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Locally Finite Central Simple Algebras
We develop a comprehensive theory of algebras over a field which are locally both finite dimensional and central simple. We generalize fundamental...
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Locally Lipschitz Functionals
In this chapter we focus our attention on the theory developed by Clarke for locally Lipschitz functionals. More precisely, we will investigate the...
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Ricci flow smoothing for locally collapsing manifolds
We show that for certain locally collapsing initial data with Ricci curvature bounded below, one could start the Ricci flow for a definite period of...
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Computing the Non-properness Set of Real Polynomial Maps in the Plane
We introduce novel mathematical and computational tools to develop a complete algorithm for computing the set of non-properness of polynomials maps...
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Continuous Functions with Locally Complicated and Fractal Properties Related to Infinite-Symbol B-Representation of Numbers
We introduce and study a massive class of continuous functions defined in the interval (0; 1) by using a special encoding (representation) of the...
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Homogenization of a Locally Periodic Oscillating Boundary
This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating...
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Locally Hausdorff tight groupoids generalised
We extend Exel’s ample tight groupoid construction to non-ample groupoids, even in the general locally Hausdorff case.
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Locally Symmetric Spaces
In this chapter a specific kind of locally symmetric space arising from arithmetic groups will be investigated.
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Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets
Here we discuss basic results from Geometric Measure Theory, including thick sets, the corkscrew condition, the geometric measure theoretic boundary,...