Results 91 to 100 of about 4,715,878 (299)
Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
doaj +1 more source
On a vector space construction by Hausdorff [PDF]
Proceedings of the American Mathematical Society, 1957 Initroduction. Some years ago Hausdorff, using Hamel bases, showed that any infinite dimensional real Banach space contained a second category linear subspace that was not complete under any equivalent norm [5]. It is shown below that a slight abstraction of his construction leads to the following: (A) a "multiple offender" example (Theorem 3), one ...
openaire +2 more sources
Atomic Scale Visualization of Vibrational Modes in Armchair Graphene Nanoribbon
physica status solidi (RRL) – Rapid Research Letters, EarlyView.To visualize the vibrational modes of armchair graphene nanoribbons and verify theories, a functionalized scanning tunneling tip is used to enhance the inelastic tunneling channel over the elastic one. Results show that edge phonons are localized than bulk phonons with little influence from substrate interactions.
Stefan Šćepanović +4 more
wiley +1 more source
On Functionally Hausdorff Spaces
Missouri Journal of Mathematical Sciences, 2013 This paper deals with functionally Hausdorff spaces. Some separation axioms which are introduced recently are studied in this paper. An interesting categorical properties of functionally Hausdorff spaces are given. Finally, we characterize topological spaces for which the functionally Hausdorff-reflection is a spectral space.
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Noncommmutative theorems: Gelfand Duality, Spectral, Invariant Subspace, and Pontryagin Duality [PDF]
, 2005 We extend the Gelfand-Naimark duality of commutative C*-algebras, "A COMMUTATIVE C*-ALGEBRA -- A LOCALLY COMPACT HAUSDORFF SPACE" to "A C*-ALGEBRA--A QUOTIENT OF A LOCALLY COMPACT HAUSDORFF SPACE".
Patel, Mukul S.
core
Arbitrary‐Scale Point Cloud Upsampling via Enhanced Geometric Spatial Consistency
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Point cloud upsampling is an essential yet challenging task in various 3D computer vision and graphics applications. Existing methods often struggle with limitations such as the generation of outliers or shrinkage artifacts. Additionally, these methods usually ignore the overall spatial structure of point clouds, leading to suboptimal results.
Xianjing Cheng +5 more
wiley +1 more source
Hausdorff closed extensions of pre-uniform spaces
Applied General Topology, 2012 The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed.
Adalberto García-Máynez +1 more
doaj +1 more source
On the Dimension of Paracompact Hausdorff Spaces [PDF]
Nagoya Mathematical Journal, 1955 This short note gives the generalized sum theorem for Lebesgue dimension of paracompact Hausdorff spaces. Our theorem, though it is a generalization of Mr. Morita’s sum theorem for fully normal spaces [3, Theorem 3. 2] which is essentially based on his generalized sum theorem for normal spaces [3, Theorem 3.1], is obtained by very brief arguments ...
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Minimality of planes in normed spaces
, 2012 We prove that a region in a two-dimensional affine subspace of a normed space $V$ has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary.
A.C. Thompson +12 more
core +1 more source
Market Allocations Under Conflation of Goods
International Economic Review, EarlyView.ABSTRACT We study competitive equilibria in exchange economies when a continuum of goods is conflated into a finite set of commodities. The design of conflation choices affects the allocation of scarce resources among agents, by constraining trading opportunities and shifting competitive pressures.
Niccolò Urbinati, Marco LiCalzi
wiley +1 more source