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Topology of Geometric Joins [PDF]
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
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Joins of Euclidean orbital topologies [PDF]
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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Is every GO-topology a join of two orderable topologies? [PDF]
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 topologies homeomorphic to the rationals [PDF]
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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Stratified Spaces: Joining Analysis, Topology and Geometry [PDF]
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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Relationship Between the Meet and Join Operators in the Lattice of Group Topologies [PDF]
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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Joining and Independence in Concurrence Topology
"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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Algebraic Topology of Certain Sasaki Joins [PDF]
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Candelario Castaneda, Ross Staffeldt
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ALEXANDROV $L$-TOPOLOGIES AND $L$-JOIN MEET APPROXIMATION OPERATORS [PDF]
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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JOIN-MEET APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES
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
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