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298
AN ALTERNATIVE DESCRIPTION OF THE TOPOLOGICAL UNIVERSE HULL OF (QUASI)UNIFORM SPACES USING APPROACH THEORY
"... Abstract. The topological universe ( = topological quasitopos) hulls of ..."
On universally topological hulls and quasitopos hulls
 Houston J. Math
, 1991
"... Abstract. For a topological category K the universally topological hull K * (if it exists) is characterized by (i) the density of K in K * and (ii) the codensity of all objects [K1, K•] in K*, where K1, Ks are Kobjects. This corrects a result of the first author who claimed that in (ii) the objects ..."
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Cited by 3 (2 self)
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Abstract. For a topological category K the universally topological hull K * (if it exists) is characterized by (i) the density of K in K * and (ii) the codensity of all objects [K1, K•] in K*, where K1, Ks are Kobjects. This corrects a result of the first author who claimed that in (ii
Topological Hulls Revisited
, 1989
"... : Methods developed for the study of general closure operators are used to construct various topological hulls for concrete categories. In particular, the notion of concretely cartesian closed topological hull for a concrete category over a cartesian closed base is generalized to arbitrary base cate ..."
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Cited by 1 (1 self)
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categories. We clarify why this concept coincides with the one of universally topological hull for concrete categories over the terminal category, i.e., for preordered classes, but not in general. The new notion is characterized in terms of injectivity in a suitable quasicategory. KEY WORDS: concrete
New topological description of the Universe.
"... We extend the bimetric description of the Universe to a fivedimensional framework. Starting from Souriau’s work (1964) we use RobertsonWalker metrics, with an extra term corresponding to the additional Kaluza dimension. This first order model is limited to zero densities of electric charge and ele ..."
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We extend the bimetric description of the Universe to a fivedimensional framework. Starting from Souriau’s work (1964) we use RobertsonWalker metrics, with an extra term corresponding to the additional Kaluza dimension. This first order model is limited to zero densities of electric charge
Projective Visual Hulls
, 2002
"... This thesis presents an imagebased method for computing the visual hull of an object bounded by a smooth surface and observed by a finite number of perspective cameras. The essential structure of the visual hull is projective: to compute an exact topological (combinatorial) description of its bound ..."
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Cited by 32 (4 self)
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This thesis presents an imagebased method for computing the visual hull of an object bounded by a smooth surface and observed by a finite number of perspective cameras. The essential structure of the visual hull is projective: to compute an exact topological (combinatorial) description of its
Topology of the Universe
, 1999
"... General relativity is unable to determine the topology of the Universe. We propose to apply quantum approach. Quantization of dynamics of a test particle is sensitive to the spacetime topology. Presented results for a particle in de Sitter spacetimes favor a finite universe. PACS numbers: 04.20.Gz, ..."
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different null geodesics. The topology is also crucial for the description of the birth of the Universe. The resolution of the problem of Universe’s largescale homogeneity may depend on the specification of the topology as well. Finally, determination of the topology would answer the old question of a
The hull process of the Brownian plane
, 2014
"... We study the random metric space called the Brownian plane, which is closely related to the Brownian map and is conjectured to be the universal scaling limit of many discrete random lattices such as the uniform infinite planar triangulation. We obtain a number of explicit distributions for the Brown ..."
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the law of the process (Zr)r>0 as the timereversal of a continuousstate branching process starting from + ∞ at time − ∞ and conditioned to hit 0 at time 0, and we give an explicit description of the process of hull volumes given the process (Zr)r>0. We obtain an explicit formula for the Laplace
On description of spatial topologies in quantum gravity
, 1994
"... grqc/9406051 Moscow 1994It is widely accepted that quantum fluctuations of metrics at smallscale distances can change spatial topology of the Universe [1],[2]. Effects connected with topology changing have been considered already in Refs.[36]. Nevertheless, an adequate mathematical scheme for des ..."
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grqc/9406051 Moscow 1994It is widely accepted that quantum fluctuations of metrics at smallscale distances can change spatial topology of the Universe [1],[2]. Effects connected with topology changing have been considered already in Refs.[36]. Nevertheless, an adequate mathematical scheme
Some universal constructions in abstract topological dynamics
, 1997
"... This small survey of basic universal constructions related to the actions of topological groups on compacta is centred around a new result — an intrinsic description of extremely amenable topological groups (i.e., those having a fixed point in each compactum they act upon), solving a 1967 problem ..."
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Cited by 17 (5 self)
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This small survey of basic universal constructions related to the actions of topological groups on compacta is centred around a new result — an intrinsic description of extremely amenable topological groups (i.e., those having a fixed point in each compactum they act upon), solving a 1967 problem
Extremal Approximately Convex Functions And Estimating The Size Of Convex Hulls
, 1998
"... A real valued function f defined on a convex K is an approximately convex function i# it satisfies f # x + y 2 # # f(x)+f(y) 2 +1. A thorough study of approximately convex functions is made. The principal results are a sharp universal upper bound for lower semicontinuous approximately conve ..."
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Cited by 10 (5 self)
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A real valued function f defined on a convex K is an approximately convex function i# it satisfies f # x + y 2 # # f(x)+f(y) 2 +1. A thorough study of approximately convex functions is made. The principal results are a sharp universal upper bound for lower semicontinuous approximately
Results 1  10
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298