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Join Spaces and Lattices

Axioms
Hypergroups represent a generalization of groups, introduced by Marty, that are rich in applications in several sectors of mathematics and in other fields.
Violeta Leoreanu-Fotea, Sarka Hoskova-Mayerova   +1 more
doaj   +4 more sources

Join Spaces, Soft Join Spaces and Lattices [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The aim of this paper is to initiate and investigate new (soft) hy-perstructures, particularly (soft) join spaces, using important classes of lattices: modular and distributive.
Leoreanu-Fotea Violeta, Davvaz Bijan, Feng Feng, Chiper Codrina   +3 more
doaj   +2 more sources

Categorical Join and Generating Families in Diffeological Spaces

Mathematics, 2023
We prove that a diffeological space is diffeomorphic to the categorical join of any generating family of plots.
E. Macías, R. Mehrabi
doaj   +3 more sources

Flows and joins of metric spaces [PDF]

Geometry & Topology, 2005
We introduce the functor * which assigns to every metric space X its symmetric join *X. As a set, *X is a union of intervals connecting ordered pairs of points in X. Topologically, *X is a natural quotient of the usual join of X with itself. We define an
Bourdon, Bourdon, Bridson, Cannon, Champetier, Chapman, Coornaert, Davis, Farrell, Ferry, Furman, Gabai, Gromov, Igor Mineyev, Mathéus, Mostow, Otal, Paulin   +17 more
core   +5 more sources

Crossover operators for molecular graphs with an application to virtual drug screening [PDF]

Journal of Cheminformatics
Genetic algorithms are a powerful method to solve optimization problems with complex cost functions over vast search spaces that rely in particular on recombining parts of previous solutions. Crossover operators play a crucial role in this context. Here,
Nico Domschke, Bruno J. Schmidt, Thomas Gatter, Richard Golnik, Paul Eisenhuth, Fabian Liessmann, Jens Meiler, Peter F. Stadler   +7 more
doaj   +2 more sources

Pseudo-median graphs are join spaces

Discrete Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hans-Jürgen Bandelt, Henry Martyn Mulder   +1 more
exaly   +2 more sources

Join operations in vector spaces

Monatshefte Fur Mathematik, 1977
LetX be a vector space over a totally ordered fieldF and Λ a subset ofF. Necessary and sufficient conditions are obtained on Λ for a join defined bya·b={λa+(1−λ)b|λ∈Λ} to make (X,·) (i) a convexity space (ii) a join system and (iii) a join space. For (X,·) to be a convexity space Λ is necessarily the set of elements between 0 and 1 for some ordered ...
V J Baston
exaly   +3 more sources

On special weak free (semi)hypergroups [PDF]

Journal of Hyperstructures, 2013
In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj   +1 more source

Metric space similarity joins [PDF]

ACM Transactions on Database Systems, 2008
Similarity join algorithms find pairs of objects that lie within a certain distance ϵ of each other. Algorithms that are adapted from spatial join techniques are designed primarily for data in a vector space and often employ some form of a multidimensional index.
Edwin H. Jacox, Hanan Samet
openaire   +1 more source

Joins of double coset spaces [PDF]

Pacific Journal of Mathematics, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattarai, H. N., Fernandez, J. W.
openaire   +2 more sources