Top-heavy phenomena for transformations

DOI10.26493/1855-3974.1753.52aOpenAlexW4210955727MaRDI QIDQ5037928

Yinfeng Zhu, Yaokun Wu

Publication date: 29 September 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.1753.52a

zbMATH Keywords

rankstrong shapeweak shapekernel spaceincidence operatorvaluated poset

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Semigroups of transformations, relations, partitions, etc. (20M20) Groups and semigroups of linear operators (47D03) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (1)

Inclusion matrices for rainbow subsets

Cites Work

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• Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
• Axioms for infinite matroids
• Groups that are transitive on all partitions of a given shape
• On basic concepts of tropical geometry
• On the shape of Bruhat intervals
• On the similarity transformation between a matrix and its transpose
• Homogeneous designs and geometric lattices
• Separation theorems for oriented matroids
• Homogeneity of infinite permutation groups
• On partitions and permutation groups on unordered sets
• Two combinatorial applications of the Aleksandrov-Fenchel inequalities
• Some aspects of groups acting on finite posets
• On secret-sharing matroids
• Transitivity of permutation groups on unordered sets
• Log-concavity of Whitney numbers of Dowling lattices
• The Radon transforms of the combinatorial geometry. II: Partition lattices
• Combinatorial algebras and multivalued involutive groups
• Hodge theory for combinatorial geometries
• Enumeration of points, lines, planes, etc.
• Group actions on semimatroids
• Matroids over partial hyperstructures
• On the Livingstone-Wagner theorem.
• Topological representations of matroid maps
• Semigroup actions on posets and preimage quasi-orders
• A five-element transformation monoid on labelled trees
• The Lefschetz properties
• Apartments preserving transformations of Grassmannians of infinite-dimensional vector spaces
• The symmetric group action on rank-selected posets of injective words
• Transitivity of finite permutation groups on unordered sets
• Permutation groups on unordered sets
• On incidence matrices of finite projective and affine spaces
• Line-transitive collineation groups of finite projective spaces
• Weak n-Homogeneity Implies Weak (n - 1)-Homogeneity
• A Remark on the Homogeneity of infinite Permutation Groups
• A NEW NOTION OF TRANSITIVITY FOR GROUPS AND SETS OF PERMUTATIONS
• Networks, Matroids, and Non-Shannon Information Inequalities
• A partial generalization of the Livingstone-Wagner Theorem
• Homogeneity of Infinite Permutation Groups
• Whitney Number Inequalities for Geometric Lattices
• Shorter Notes: Another Proof that Weak n-Homogeneity Implies Weak (n - 1)-Homogeneity
• Fundamental theorem of geometry without the 1-to-1 assumption
• Hodge theory in combinatorics
• On the incidence maps of incidence structures
• Geometry of Semilinear Embeddings
• How to use finite fields for problems concerning infinite fields
• A Certain Class of Incidence Matrices
• Concavity properties and a generating function for stirling numbers
• A note on the ranks of set-inclusion matrices
• The classification of partition homogeneous groups with applications to semigroup theory

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