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International Journal of Theoretical Physics, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
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On the Structure of Topological Spaces [PDF]
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial. A special class of spatial fibrous preorders consisting of an interconnected family of preorders indexed by a unitary ...
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Cycle spaces in topological spaces [PDF]
Journal of Graph Theory, 2008 AbstractWe develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to show that the fundamental cycles of a (generalization of a) spanning tree generate the cycle space in a connected, compact, weakly Hausdorff edge space.
Antoine Vella, R. Bruce Richter
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The non-existence of a universal topological type space [PDF]
, 2010 The concept of types was introduced by Harsányi[8]. In the literature there are two approaches for formalizing types, type spaces: the purely measurable and the topological models.
Aumann +15 more
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Topological Conformal Dimension [PDF]
, 2015 We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of a metric space. This invariant, called the topological conformal dimension, gives a lower bound on the topological Hausdorff dimension of quasisymmetric ...
DiMarco, Claudio A.
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Summability in topological spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyin Çakalli, M. K. Khan
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Topological Structures on DMC Spaces † [PDF]
Entropy, 2017 Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation.
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Discretization of Topological Spaces [PDF]
The Quarterly Journal of Mathematics, 2016 19 ...
Amini, Massoud, Golestani, Nasser
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Profinite algebras and affine boundedness
, 2016 We prove a characterization of profinite algebras, i.e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. In general profiniteness concerns both the topological and algebraic characteristics of a topological ...
Schneider, Friedrich Martin +1 more
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On chains in $H$-closed topological pospaces
, 2008 We study chains in an $H$-closed topological partially ordered space. We give sufficient conditions for a maximal chain $L$ in an $H$-closed topological partially ordered space such that $L$ contains a maximal (minimal) element.
AH Clifford +19 more
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