A homological interpretation of certain incidence matrices \(\text{mod }p\)

DOI10.1007/BF01459502zbMath0790.05016OpenAlexW1977550062MaRDI QIDQ1318165

Thomas Bier

Publication date: 24 April 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165132

zbMATH Keywords

simplexincidence matriceshomology groupsstable rangeboundary homomorphisms

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36) Chain complexes in algebraic topology (55U15)

Related Items

Two step homology of a join product, On modular homology in the Boolean algebra. II, On modular homology in the Boolean algebra. III

Cites Work

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• Remarks on recent formulas of Wilson and Frankl
• Intersection theorems and mod \(p\) rank of inclusion matrices
• A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
• The module structure of integral designs
• The Mayer homology theory