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Compactness
Compactness is the other important topological invariant which, together with connectedness, occupies a central role in topology and, in general, in... -
Regularity and Compactness of Stationary Map-Varifold Pairs
The authors introduce the conception of stationary map-varifold pairs and prove a compactness result. As applications, they analyse the asymptotic...
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Duality and stable compactness in Orlicz-type modules
Orlicz-type modules are module analogues of classical Orlicz spaces. We study duality and stable compactness in Orlicz-type modules. We characterize...
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Asymptotic Embedding and Compactness Results
In this section we include some results that extend corresponding results in Sobolev spaces to the case of convolution energies. In Theorem 4.2 we... -
Compactness and Connectedness
This chapter is devoted to address the concepts of compactness and connectedness in topological settings, which first arose through the study of... -
Directional Compactness, Approximations and Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Constraints
In this article, we introduce and study a natural version of the directional compactness, which can be viewed as one of the effective tools for...
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Compactness of harmonic maps of surfaces with regular nodes
In this paper, we formulate and prove a general compactness theorem for harmonic maps of Riemann surfaces using Deligne–Mumford moduli space and...
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Compactness theory of the space of Super Ricci flows
We develop a compactness theory for super Ricci flows, which lays the foundations for the partial regularity theory in Bamler (Structure Theory of...
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Uhlenbeck compactness for Yang–Mills flow in higher dimensions
This paper proves a general Uhlenbeck compactness theorem for sequences of solutions of Yang–Mills flow on Riemannian manifolds of dimension
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A Compactness and Integral-Representation Result
The main result of this chapter is a compactness and integral-representation result for the Γ-limits of the families {Fε(⋅, A)}ε, which we can obtain... -
On completeness and compactness in fuzzy metric spaces
In this paper we introduce the concepts of weak-completeness and sequentially p -compactness in fuzzy metric spaces in relation to the works given by...
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m-pseudoconcavity and compactness
The core of a compact set in a general complex manifold has been defined by Shcherbina very recently to study the existence of strictly...
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Boundedness and Compactness for the Commutator of the ω-Type Calderón-Zygmund Operator on Lorentz Space
In this paper, the authors consider the ω -type Calderón-Zygmund operator T ω and the commutator [ b, T ω ] generated by a symbol function b on the...
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Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces
In this chapter, we investigate the boundedness and the compactness characterizations of commutators on local and global generalized Herz spaces.... -
Compactness of Dirac–Einstein Spin Manifolds and Horizontal Deformations
In this paper, we consider the Hilbert–Einstein–Dirac functional, whose critical points are pairs, metrics-spinors, that satisfy a system coupling...
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Compactness of sequences of warped product circles over spheres with nonnegative scalar curvature
Gromov and Sormani conjectured that a sequence of three dimensional Riemannian manifolds with nonnegative scalar curvature and some additional...