Results 101 to 110 of about 1,198,947 (283)
PFA(S)[S] and countably compact spaces [PDF]
arXiv, 2016 We show a number of undecidable assertions concerning countably compact spaces hold under PFA(S)[S]. We also show the consistency without large cardinals of "every locally compact, perfectly normal space is paracompact".
arxiv
Parseval space-frequency localized frames on sub-Riemannian compact homogeneous manifolds [PDF]
arXiv, 2016 The objective of this article is to describe a construction of Parseval bandlimited and localized frames on sub-Riemannian compact homogeneous manifolds.
arxiv
Core-compactness of Smyth powerspaces [PDF]
arXiv, 2019 We prove that the Smyth powerspace Q(X) of a topological space X is core-compact if and only if X is locally compact. As a straightforward consequence we obtain that the Smyth powerspace construction does not preserve core-compactness generally.
arxiv
An explicit compact universal space for real flows [PDF]
arXiv, 2016 The Kakutani-Bebutov Theorem (1968) states that any compact metric real flow whose fixed point set is homeomorphic to a subset of $\mathbb{R}$ embeds into the Bebutov flow, the $\mathbb{R}$-shift on $C(\mathbb{R},[0,1])$. An interesting fact is that this universal space is a function space. However, it is not compact, nor locally compact.
arxiv
Homogeneous locally compact spaces
Topology and its ApplicationsThis is a survey of the recent results and unsolved problems about locally compact homogeneous metric spaces. Mostly, homogeneous finite-dimensional $ANR$-spaces are discussed.
openaire +2 more sources
On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
doaj +1 more source
Order of zeta functions for compact even-dimensional symmetric spaces [PDF]
arXiv, 2016 Some zeta functions which are naturally attached to the locally homogeneous vector bundles over compact locally symmetric spaces of rank one are investigated. We prove that such functions can be expressed in terms of entire functions whose order is not larger than the dimension of the corresponding compact, even-dimensional, locally symmetric space.
arxiv
Weak compactness in locally convex spaces [PDF]
Transactions of the American Mathematical Society, 1973 The notion of weak compactness plays a central role in the theory of locally convex topological vector spaces. However, in the statement of many theorems, completeness of the space, or at least quasi-completeness of the space in the Mackey topology is an important assumption.
openaire +2 more sources