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Topology of Geometric Joins [PDF]

open access: closedDiscrete & Computational Geometry, 2015
We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) Carathéodory and Tverberg theorems, and their relatives.
Imre Bárány   +2 more
semanticscholar   +9 more sources

Joins of Euclidean orbital topologies [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 1995
This paper is concerned with joins of orbital topologies especially on the orbit of the reals with the usual topology.
Ellen Clay
openalex   +5 more sources

Is every GO-topology a join of two orderable topologies? [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1982
As a generalization of GO {\text {GO}} -topologies ( GO = generalized ordered {\text {GO = generalized ordered}} ), we are interested in those topologies (here called JO {\text {JO}} -topologies) on a set X X which can be expressed as a join of ...
Paul R. Meyer   +2 more
  +5 more sources

Joins of topologies homeomorphic to the rationals [PDF]

open access: bronzeJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989
AbstractLet Q be the space of all rational numbers and (X, τ) be a topological space where X is countably infinite. Here we prove that (1) τ is the join of two topologies on X both homeomorphic to Q if and only if τ is non-compact and metrizable, and (2) τ is the join of topologies on X each homeomorphic to Q if and only if τ is Tychonoff and ...
A. J. Jayanthan, V. Kannan
openalex   +3 more sources

Stratified Spaces: Joining Analysis, Topology and Geometry [PDF]

open access: greenOberwolfach Reports, 2012
For manifolds, topological properties such as Poincaré duality and invariants such as the signature and characteristic classes, results and techniques from complex algebraic geometry such as the Hirzebruch-Riemann-Roch theorem, and results from global analysis such as the Atiyah-Singer index theorem, worked hand in hand in the past to weave a tight web
Markus Banagl   +2 more
openalex   +3 more sources

Relationship Between the Meet and Join Operators in the Lattice of Group Topologies [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1986
Let L ( G ) L(G) be the lattice of all topologies on the group G G which make G G into a topological group. If τ 1 {\tau _1} and τ 2 {\tau _2} are Hausdorff group
Bradd Clark, Victor Schneider
  +4 more sources

Joining and Independence in Concurrence Topology

open access: green, 2015
"Concurrence topology" (Ellis and Klein \emph{Homology, Homotopy, and Applications,} \textbf{16}) is a TDA method for binary data. The idea is to construct a filtration consisting of Dowker complexes then compute persistent homology. Persistent classes correspond to a form of negative statistical association among the variables.
Steven P. Ellis
  +6 more sources

ALEXANDROV $L$-TOPOLOGIES AND $L$-JOIN MEET APPROXIMATION OPERATORS [PDF]

open access: bronzeInternational Journal of Pure and Apllied Mathematics, 2014
In this paper, we investigate the properties of L-fuzzy relations and L-join meet approximation operators induced by Alexandrov L-topologies in complete residuated lattices. We investigate relations among their operations, L-fuzzy relations and Alexandrov L-topologies.
Y.C. Kim
openalex   +2 more sources

JOIN-MEET APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES

open access: bronzeKorean Journal of Mathematics, 2014
In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet  approximation operators.  We study fuzzy preorder, Alexandrov topologies join-meet  approximation operators induced by Alexandrov fuzzy topologies. We give their examples.
Yong Chan Kim
openalex   +4 more sources

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