A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Computability on subsets of Euclidean space I: closed and compact subsets

1999
*
Theoretical Computer Science
*

In this paper we introduce

doi:10.1016/s0304-3975(98)00284-9
fatcat:3hnwpzi5m5bilj2vxh4iluukd4
*and*compare*computability*concepts*on*the set*of**closed**subsets**of**Euclidean**space*. ... The resultant canonical*computability*concepts induce*computability**of*objects as well as*computability**of*operators*on*the*space**of**closed**and**compact**subsets*. ... Conclusion In this paper we have discussed*computability*concepts*on*the*closed**and**on*the*compact**subsets**of**Euclidean**space*. ...##
###
Volume distortion for subsets of Euclidean spaces

2006
*
Proceedings of the twenty-second annual symposium on Computational geometry - SCG '06
*

We show that this holds without any assumption

doi:10.1145/1137856.1137888
dblp:conf/compgeom/Lee06
fatcat:wdrysy632fe5rhu23wcxtzewne
*on*the aspect ratio,*and*give an improved bound*of*O( √ log n(log k) 1/4 ). ... Our main result is an upper bound*of*O( √ log n log log n) independent*of*the value*of*k, nearly resolving the main open questions*of*[Dunagan-Vempala 2001]*and*[Krauthgamer-Linial-Magen 2004] . ... We thank Sanjeev Arora*and*Assaf Naor for relevant discussions during the work*of*[ALN08] ,*and*Satish Rao for related conversations over the years. ...##
###
Diophantine approximation for negatively curved manifold, I
[article]

1999
*
arXiv
*
pre-print

In the case

arXiv:math/9909131v1
fatcat:ubtv6oxug5eihjizf5jwtp4y6m
*of*constant curvature, we express the Hurwitz constant in terms*of*lengths*of**closed*geodesics*and*their depths outside the cusp neighborhood. ... Inspired by the theory*of*diophantine approximation*of*a real (or complex) number by rational*ones*, we develop a theory*of*approximation*of*geodesic lines starting from a given cusp by*ones*returning to ... Parts*of*this paper were written during a stay*of*the first author at the IHES in August-September 1998,*and*during a*one*week stay*of*the second author at the Warwick University under an Alliance project ...##
###
Generalized sums over histories for quantum gravity (I). Smooth conifolds

1993
*
Nuclear Physics B
*

This paper proposes to generalize the histories included in

doi:10.1016/0550-3213(93)90649-a
fatcat:leabetfvpbfxra7khjgox6soay
*Euclidean*functional integrals from manifolds to a more general set*of**compact*topological*spaces*. ... Consequently, generalized*Euclidean*functional integrals based*on*these conifold histories yield semiclassical amplitudes for sequences*of*both manifold*and*conifold histories that approach a stationary ... Acknowledgments This work is the outgrowth*of*results presented by the authors at the Fifth Marcel ...##
###
Hilbert's fourth problem, I

1986
*
Advances in Mathematics
*

Stacho,

doi:10.1016/0001-8708(86)90056-3
fatcat:5d562foknjfstbezhdlov6kgui
*and*V. Totik for their valuable discussions. ... '(x)*on*any*compact**subset**of*W. ... tend uniformly to d(x, y)*on*any*compact**subset**of*the AE coordinate system. ...##
###
Polyhedral compactifications, I
[article]

2020
*
arXiv
*
pre-print

In this work we describe horofunction compactifications

arXiv:2002.12422v3
fatcat:jmxtxjg3ebeajklgofi4s4kjpy
*of*metric*spaces**and*finite dimensional real vector*spaces*through asymmetric metrics*and*asymmetric polyhedral norms by means*of*nonstandard methods ... , that is, ultrapowers*of*the*spaces*at hand. ... Since X is a metric*space*, a function*on*X is continuous if*and*only if its restriction to every*compact**subset**of*X is continuous, see [Dug66, VI.8.3*and*XI.9.3]. ...##
###
Morse Quasiflats I
[article]

2021
*
arXiv
*
pre-print

In this paper we introduce a number

arXiv:1911.04656v4
fatcat:i6ekp6b7wfabtewncxj6aiaxpu
*of*alternative definitions,*and*under appropriate assumptions*on*the ambient*space*we show that they are equivalent*and*quasi-isometry invariant; we also give a variety ...*of*examples. ...*on*parameters*of*super-*Euclidean*divergence*and*X). ...##
###
Linear foliations of complex spheres I. Chains
[article]

2018
*
arXiv
*
pre-print

We provide coordinate-free versions

arXiv:1704.08010v2
fatcat:34plhqwehree5f3yq55y7uuxt4
*of*the classical projection Theorem*of*Marstrand-Kaufman-Mattila. ... fact that the singular values*of*g belong to a*compact**subset**of*]0, +∞[)*and*the last inequality is an easy*computation*. ... the inverse image*of*any*compact**subset*is a*compact**subset*.) ...##
###
Algebraic geometry of topological spaces I

2012
*
Acta Mathematica
*

Weibel for a useful email discussion

doi:10.1007/s11511-012-0082-6
fatcat:jtaecjxarzdizjxpsbvnpxndsi
*on*Beȋlinson-Soulé's conjecture. ... Part*of*the research for this article was carried out during a visit*of*the first author to Universität Göttingen. He is indebted to this institution for their hospitality. ... from N to a precompact*subset**of*the*space*Y an*of**closed*points*of*Y equipped with the topology inherited by the*euclidean*topology*on*C n . ...##
###
Algebraic Geometry of Topological Spaces I
[article]

2011
*
arXiv
*
pre-print

We use techniques from both real

arXiv:0912.3635v3
fatcat:mtluc5ibjvgq7ivtcv2hbvfgn4
*and*complex algebraic geometry to study K-theoretic*and*related invariants*of*the algebra C(X)*of*continuous complex-valued functions*on*a*compact*Hausdorff topological ...*space*X. ... Part*of*the research for this article was carried out during a visit*of*the first named author to Universität Göttingen. He is indebted to this institution for their hospitality. ...##
###
Topological ordered C- (resp. I-)spaces and generalized metric spaces

2009
*
Topology and its Applications
*

The following result due to Hanai, Morita,

doi:10.1016/j.topol.2008.12.040
fatcat:otxmox6sqfbvliavcgpacgwidu
*and*Stone is well known: Let f be a*closed*continuous map*of*a metric*space*X onto a topological*space*Y . ... While each fiber*of*a map is open or*compact*under the hypotheses mentioned in Balachandran's result (compare [25, p. 700]), the sets*i*(x)*and*d(x) (x ∈ X)*of*a metrizable topological ordered C -*and**I*... The closure*of*a*subset*D*of*]0, 1[ with respect to the*Euclidean*topology*on*]0, 1[ will be denoted by D. ...##
###
Distance Geometry in Quasihypermetric Spaces. I
[article]

2008
*
arXiv
*
pre-print

Let (X, d) be a

arXiv:0809.0740v1
fatcat:veupkzjwsbfudglofgp75yty2i
*compact*metric*space**and*let M(X) denote the*space**of*all finite signed Borel measures*on*X. ... The metric*space*(X, d) is quasihypermetric if for all n ∈, all α_1, ..., α_n ∈ satisfying ∑_i=1^n α_*i*= 0*and*all x_1, ..., x_n ∈ X,*one*has ∑_i,j=1^n α_*i*α_j d(x_i, x_j) ≤ 0. ... The authors are grateful for the financial support*and*hospitality*of*the University*of*Salzburg*and*the Centre for Pure Mathematics in the School*of*Mathematics*and*Applied Statistics at the University ...##
###
DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I

2009
*
Bulletin of the Australian Mathematical Society
*

Let (X, d) be a

doi:10.1017/s0004972708000932
fatcat:ncyso4dmwrfzblyboj5apu3tvm
*compact*metric*space**and*let M(X ) denote the*space**of*all finite signed Borel measures*on*X . ...*of*this topology to the weak- * topology*and*the measure-norm topology*on*M 0 (X );*and*the functional-analytic properties*of*M 0 (X ) as a semi-inner product*space*, including the question*of*its completeness ... For n ≥ 2, let S n−1 denote the*Euclidean*unit sphere in R n , let X be a*compact**subset**of*S n−1*and*let d(x, y) = x − y 2 for all x, y ∈ X , where · is the*Euclidean*norm. ...##
###
Entropy for hyperbolic Riemann surface laminations I
[article]

2011
*
arXiv
*
pre-print

When the lamination is

arXiv:1105.2307v2
fatcat:ol5afetelfa6vnmzd2xzk7pdla
*compact**and*transversally smooth, we show that the entropy is finite*and*the Poincare metric*on*leaves is transversally Holder continuous. ... A notion*of*metric entropy is also introduced for harmonic measures. ... When X is not*compact*, we can also consider the supremum*of*the entropies*on**compact**subsets**of*X. Note that if Y*and*Y ′ are two*subsets**of*X, then h(Y ∪ Y ′ ) = max(h(Y ), h(Y ′ )). ...##
###
Constructions of $$H_r$$ H r -hypersurfaces, barriers and Alexandrov theorem in $$\mathrm{I\!H}^n\times \mathrm{I\!R}$$ I H n × I R

2014
*
Annali di Matematica Pura ed Applicata
*

The dependence

doi:10.1007/s10231-014-0446-y
fatcat:ynsixgrbnbh53mwqklfcozyezi
*on*r*and*n is a distinguishing point from the theory*of*H r -hypersurfaces in IH n × IR (H r > 0) from that*of*the*euclidean*or hyperbolic*spaces*, where the critical points are 0*and*1, ... Namely, we prove that an embedded*compact*H r -hypersurface in IH n × IR is rotational (H r > 0). rotational H-hypersurface, H > 0, depends*on*the value*of*H*and*we distinguish the cases*of*H greater or ... when H r tends to n−r n . iii) λ(ρ) → 0 uniformly in*compacts**subsets**of*[0, ∞] when H r → 0. ...
« Previous

*Showing results 1 — 15 out of 79,036 results*