Filters








166,178 Hits in 3.4 sec

Space of valuations

Thierry Coquand
2009 Annals of Pure and Applied Logic  
This paper illustrates further this general program on the notion of valuations. They were introduced by Dedekind and Weber [R. Dedekind, H.  ...  of a Σ 0 1 equivalent assertion. 2 Technically, the introduction of a point of a formal space corresponds to working in the sheaf model over this space, and the elimination of this point is achieved by  ...  Acknowledgement I would like to thank Henri Lombardi, Claude Quitté and Peter Schuster for several discussions on the topic of this paper.  ... 
doi:10.1016/j.apal.2008.09.003 fatcat:dxxofb3nfzavbiaxlbwkonjgru

Spaces of Valuations

REINHOLD HECKMANN
1996 Annals of the New York Academy of Sciences  
"Spaces of Valuations" Revisited 10/38 New Interactions Between Analysis, Topology and Computation Birmingham 2009 .  ...  New Interactions Between Analysis, Topology and Computation Birmingham 2009 "Spaces of Valuations" Revisited 8/38 Properties of integration Write L(X) for set of lower semicontinuous functions X → [0  ...  Recall, an affine function is one that preserves convex combinations: New Interactions Between Analysis, Topology and Computation Birmingham 2009 "Spaces of Valuations" Revisited 34/38 Define h : V <  ... 
doi:10.1111/j.1749-6632.1996.tb49168.x fatcat:ud4lgkybjfhwxbvrjr5qozn2zu

Quotients of Valuated Vector Spaces

Paul Hill
1981 Proceedings of the American Mathematical Society  
An s -dense subspace S of a. free space F is not free by virtue of F/ S having only values that are cofinal with <•>.  ...  The first is to present a direct example of a quotient of an injective space that is not itself injective. The second is to demonstrate that Theorem 3 in [2] is false.  ...  Quotients of injective valuation spaces. In a ground-breaking paper on valuated vector spaces by L.  ... 
doi:10.2307/2043978 fatcat:xc5sbg2kovffna3w7lxo25nn7a

Quotients of valuated vector spaces

Paul Hill
1981 Proceedings of the American Mathematical Society  
An s -dense subspace S of a. free space F is not free by virtue of F/ S having only values that are cofinal with <•>.  ...  The first is to present a direct example of a quotient of an injective space that is not itself injective. The second is to demonstrate that Theorem 3 in [2] is false.  ...  Quotients of injective valuation spaces. In a ground-breaking paper on valuated vector spaces by L.  ... 
doi:10.1090/s0002-9939-1981-0589128-1 fatcat:zvn3ept7zjgqljtruupwfcahwi

Spaces of valuations as quasimetric domains

Philipp Sünderhauf
1998 Electronical Notes in Theoretical Computer Science  
It turns out that the space of valuations of an (ordinary) algebraic domain D is an algebraic quasimetric domain.  ...  We de ne a natural quasimetric on the set of continuous valuations of a topological space and investigate it in the spirit of quasimetric domain theory.  ...  Then the quasimetric powerdomain of this algebraic qm-domain is given by the space of valuations (V (D) d ). Proof.  ... 
doi:10.1016/s1571-0661(05)80223-3 fatcat:47szleopyfczhh6p2zc5zl5gk4

Constructing the space of valuations of a quasi-Polish space as a space of ideals [article]

Matthew de Brecht
2021 arXiv   pre-print
We construct the space of valuations on a quasi-Polish space in terms of the characterization of quasi-Polish spaces as spaces of ideals of a countable transitive relation.  ...  Our construction is closely related to domain theoretical work on the probabilistic powerdomain, and helps illustrate the connections between domain theory and quasi-Polish spaces.  ...  Heckmann's excellent paper [11] for more on the theory of valuations, spaces of valuations, and integration 1 .  ... 
arXiv:2106.15780v2 fatcat:n4gja5fgx5fdfplobicfcn4ywu

Characterisation of Valuations and Curvature Measures in Euclidean Spaces [article]

Mykhailo Saienko
2020 arXiv   pre-print
Furthermore, a decomposition of the space of smooth translation-invariant ℝ-valued curvature measures as an SO(n)-representation is obtained.  ...  Curvature measures may be regarded as "localised" versions of valuations which yield local information about the geometry of a body's boundary.  ...  Other important target spaces include the case A = K(R n ) (Minkowski valuations) [46] and the space of signed measures on the sphere (area measures) [59, 60] .  ... 
arXiv:1903.03100v2 fatcat:sshdluekubeg7d3fnh4cld5t64

Social Valuation of City Public Residential Space

Lidia Groeger
2013 Real Estate Management and Valuation  
Valuation of the desired qualities of public residential space at the place of residence and valuation of the existing qualities of public residential space at the current place of residence were determined  ...  The paper presents the attributes of good public residential space within cities. Features of public residential space significant for city inhabitants at the place of residence were defined.  ...  The sum assessment of all these orders determines the valuation of a given space.  ... 
doi:10.2478/remav-2013-0017 fatcat:u7nawo2gaba2xl3nah2qbop6ku

The space of isometry covariant tensor valuations

D. Hug, R. Schneider, R. Schuster
2007 St. Petersburg Mathematical Journal  
The dimension of the vector space of continuous, isometry covariant tensor valuations, of a fixed rank and of a given degree of homogeneity, is explicitly determined.  ...  Alesker, span the vector space of tensor-valued, continuous, isometry covariant valuations on convex bodies, are not linearly independent. P.  ...  The space of these valuations is of infinite dimension. On the other hand, Alesker [4] showed the following.  ... 
doi:10.1090/s1061-0022-07-00990-9 fatcat:ann4wx2dqrhlzpbjv2csq5xcxe

Valuations and hyperplanes of dual polar spaces

Bart De Bruyn, Pieter Vandecasteele
2005 Journal of combinatorial theory. Series A  
In the present paper we study valuations of dual polar spaces. We will introduce the class of the SDPS-valuations and characterize these valuations.  ...  Each SDPS-valuation will also give rise to a geometric hyperplane of the dual polar space.  ...  An SDPS-valuation of a dual polar space P D of rank n arises from a set of points of P D on which a certain dual polar space of rank n 2 can be defined (so n must be even).  ... 
doi:10.1016/j.jcta.2005.02.001 fatcat:n3jaehrqdzbitid66rbeiplspm

Valuation of New Products in Attribute Space

Geoffrey M. Pofahl, Timothy J. Richards
2009 American Journal of Agricultural Economics  
We contribute to the literature on new product valuation by presenting a model of new product introduction based on the distance metric (DM) approach of Pinkse, Slade, and Brett (2002) .  ...  Models based on the DM approach are capable of dealing with highly differentiated food categories that are often responsible for the lion's share of new product activity.  ...  A small number of studies in recent years have addressed the topic of new product valuation.  ... 
doi:10.1111/j.1467-8276.2008.01191.x fatcat:sgh2ztrjyvb7rbu3hxmuyh2zzi

The projective dimension of valuated vector spaces

Paul Hill, Errin White
1982 Journal of Algebra  
This paper is primarily concerned with a projective dimension of vector spaces with valuations. Let f be a totally ordered set with suprema.  ...  The main purpose of this paper is to characterize those valuated spaces having proper projective dimension n for each positive integer n.  ...  By the dimension of a valuated vector space (as opposed to the projective dimension) we simply mean the dimension of the vector space with the valuation ignored.  ... 
doi:10.1016/0021-8693(82)90031-x fatcat:rzlzpbk2yzgjhfzy5nqg5eo5dq

Ultrametric properties for valuation spaces of normal surface singularities [article]

Evelia García Barroso, Pedro González Pérez, Patrick Popescu-Pampu, Matteo Ruggiero
2018 arXiv   pre-print
Then we extend our setting by allowing L to be an arbitrary semivaluation on X and by defining u_L on a suitable space of semivaluations.  ...  We prove that any such function is again an ultrametric if and only if X is arborescent, and without any restriction on X we exhibit special subspaces of the space of semivaluations in restriction to which  ...  Ultrametric distances on valuation spaces In this second part of the paper, we generalize the results of Part 1 to the setting of valuation spaces.  ... 
arXiv:1802.01165v2 fatcat:5y37kxehbffbjpv5p3zfaaybsq

A Valuation of Public Spaces: Selected Research Results

Sławomir Palicki
2013 Real Estate Management and Valuation  
The multifaceted function of public spaces requires a thorough recognition of their role and functioning in a city, especially from the estate management point of view.  ...  The aim of the study is to draw attention to the fact that the value of public spaces has an interdisciplinary character, and should be viewed as such.  ...  Utilizing and valuating public spaces in the social groups' perspective The intention of the research was to create partial models, capturing the space valuation done by particular social groups, and a  ... 
doi:10.2478/remav-2013-0003 fatcat:pmqkajitzvhtzipnli6ou2tvca

Monotone Valuations on the Space of Convex Functions

L. Cavallina, A. Colesanti
2015 Analysis and Geometry in Metric Spaces  
We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞.  ...  We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity.  ...  Acknowledgement: Supported by G.N.A.M.P.A. and by the FIR project 2013 "Geometric and Qualitative aspects of PDE's".  ... 
doi:10.1515/agms-2015-0012 fatcat:kitn722uu5arbig72hmlaubuhm
« Previous Showing results 1 — 15 out of 166,178 results