Partitioning the projective plane and the dunce hat

DOI10.1016/j.ejc.2022.103584zbMath1498.05299arXiv2109.01154OpenAlexW3196827316MaRDI QIDQ2674561

Andrés Santamaría-Galvis

Publication date: 14 September 2022

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01154

zbMATH Keywords

partitionability of simplicial complexesrelative simplicial complexes

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of simplicial complexes (05E45)

Uses Software

• SageMath
• Simplicial complex library

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Knots in collapsible and non-collapsible balls
• A guide to the classification theorem for compact surfaces
• Combinatorial methods in the theory of Cohen-Macaulay rings
• On \(f\)-vectors and relative homology
• Algebraic shifting increases relative homology
• Combinatorics and commutative algebra.
• Shellings from relative shellings, with an application to NP-completeness
• Sequential partitions of nonpure simplicial complexes
• A balanced non-partitionable Cohen-Macaulay complex
• Decompositions of two-dimensional simplicial complexes
• On the dunce hat
• A non-partitionable Cohen-Macaulay simplicial complex
• The Partitionability Conjecture
• An unshellable triangulation of a tetrahedron
• The Jordan-Schonflies Theorem and the Classification of Surface
• Which Spheres are Shellable?
• Balanced Cohen-Macaulay Complexes

This page was built for publication: Partitioning the projective plane and the dunce hat