Results 21 to 30 of about 9,783 (99)
Variable sets over an algebra of lifetimes: a contribution of lattice theory to the study of computational topology [PDF]
, 2015 A topos theoretic generalisation of the category of sets allows for modelling spaces which vary according to time intervals. Persistent homology, or more generally, persistence is a central tool in topological data analysis, which examines the structure ...
Costa, João Pita +2 more
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Lipschitz functions on topometric spaces
, 2013 We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Yaacov, Itaï Ben
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On order-bounded subsets of locally solid Riesz spaces
, 2015 In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically bounded subset
Hong, Liang
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LINEAR AND NON-LINEAR PRICE DECENTRALIZATION [PDF]
The present paper provides compendious and thorough solutions to the price equilibrium existence problem, the second welfare theorem, and the limit theorem on the core of an economy for exchange economies whose commodity space is an arbitrary ordered ...
CHARALAMBOS D. APLIPRANTIS +2 more
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On the lattice structure of probability spaces in quantum mechanics
, 2011 Let C be the set of all possible quantum states. We study the convex subsets of C with attention focused on the lattice theoretical structure of these convex subsets and, as a result, find a framework capable of unifying several aspects of quantum ...
A. Dvurečenskij +58 more
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Ideal points in multiobjective programming [PDF]
, 1993 The main object of this paper is to give conditions under which a minimal solution to a problem of mathematical programming can be transformed into a minimum solution in the usual sense of the order relations, or in every case, conditions under which ...
Balbás, Alejandro +2 more
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Antichain cutsets of strongly connected posets
, 2012 Rival and Zaguia showed that the antichain cutsets of a finite Boolean lattice are exactly the level sets. We show that a similar characterization of antichain cutsets holds for any strongly connected poset of locally finite height.
A Aramova +20 more
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Unbounded order convergence in dual spaces [PDF]
, 2017 A net $(x_\alpha)$ in a vector lattice $X$ is said to be {unbounded order convergent} (or uo-convergent, for short) to $x\in X$ if the net $(\abs{x_\alpha-x}\wedge y)$ converges to 0 in order for all $y\in X_+$.
Gao, Niushan
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General equilibrium analysis in ordered topological vector spaces [PDF]
The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting.
Charalambos Aliprantis +2 more
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Anti-de Sitter strictly GHC-regular groups which are not lattices
, 2018 For $d=4, 5, 6, 7, 8$, we exhibit examples of $\mathrm{AdS}^{d,1}$ strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space $\mathbb{H}^d$, nor to any symmetric space. This provides a negative answer to Question 5.2 in [9A12] and
Lee, Gye-Seon, Marquis, Ludovic
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