Lickorish's collapsibility conjecture for subdivisions of simplices
A simplicial complex is collapsible if it can be reduced to a vertex by a sequence of elementary collapses. A simplicial subdivision of a -simplex is a simplicial complex whose underlying space is a -simplex.
Lickorish's conjecture. Any simplicial subdivision of a -simplex is collapsible.
This is a classical conjecture about criteria guaranteeing collapsibility; the source does not give evidence of a resolution.
References
Primary source
Karim Alexander Adiprasito, “Methods from Differential Geometry in Polytope Theory”, arXiv:1403.2657 (2014).
Additional references
2 papers in this index state this conjecture (2012–2014). The statement above is taken from the most recent of them; the others are arXiv:1202.3390.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.