Results 41 to 50 of about 92,619 (185)
Reflecting Lindel\"of and converging omega_1-sequences
, 2013 We deal with a conjectured dichotomy for compact Hausdorff spaces: each such space contains a non-trivial converging omega-sequence or a non-trivial converging omega_1-sequence. We establish that this dichotomy holds in a variety of models; these include
Dow, Alan, Hart, Klaas Pieter
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Nonseparated manifolds and completely unstable flows
International Journal of Mathematics and Mathematical Sciences, 1987 We define an order structure on a nonseparated n-manifold. Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required.
Sudhir K. Goel
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Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates
, 2012 We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator.
Ponce, Augusto C.
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On the category of profinite spaces as a reflective subcategory
Applied General Topology, 2013 In this paper by using the ring of real-valued continuous functions $C(X)$, we prove a theorem in profinite spaces which states that for a compact Hausdorff space $X$, the set of its connected components $X/_{\sim}$ endowed with the quotient topology is ...
Abolfazl Tarizadeh
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Spaces whose Pseudocompact Subspaces are Closed Subsets
Applied General Topology, 2004 Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”).
Alan Dow +3 more
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The geometric realization of a simplicial Hausdorff space is Hausdorff
, 2013 It is shown that the thin geometric realization of a simplicial Hausdorff space is Hausdorff. This proves a famous claim by Graeme Segal that the thin geometric realisation of a simplicial k-space is a k-space.Comment: 19 ...
Clément de Seguins Pazzis +4 more
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Carleson Measure and Tent Spaces on the Siegel Upper Half Space
Abstract and Applied Analysis, 2012 The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed.
Kai Zhao
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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
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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
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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.
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