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Topology of Geometric Joins [PDF]
Discrete & 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) Carath odory and Tverberg theorems, and their relatives. We conjecture that when the family has at least $d+1$ sets, where $d$ is the dimension of the space, then the geometric join is contractible.
Imre Bárány +2 more
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Is every GO-topology a join of two orderable topologies? [PDF]
Proceedings 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
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Joins of Euclidean orbital topologies [PDF]
International 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
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Algebraic Topology of Certain Sasaki Joins [PDF]
Topology and its Applications34 ...
Candelario Castaneda, Ross Staffeldt
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Joins of topologies homeomorphic to the rationals [PDF]
Journal 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
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Joining and Independence in Concurrence Topology [PDF]
, 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
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ALEXANDROV $L$-TOPOLOGIES AND $L$-JOIN MEET APPROXIMATION OPERATORS [PDF]
International 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
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Relationship Between the Meet and Join Operators in the Lattice of Group Topologies [PDF]
Proceedings 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
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Stratified Spaces: Joining Analysis, Topology and Geometry [PDF]
Oberwolfach 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
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The Sorgenfrey topology is a join of orderable topologies [PDF]
Czechoslovak Mathematical Journal, 1973 Paul R. Meyer
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