CORDIS Project
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This project investigates the enumeration of faces in triangulated spheres and related structures, including simplicial and flag spheres. It aims to tackle traditional challenges in face enumeration while proposing new problems and research directions in the field of combinatorial geometry.
I propose to study the face enumeration of triangulated spheres and their relatives.
This includesthe family of all simplicial spheres, flag spheres, subfamilies interpolating between these two, balancedskeleta in polytopes and levels in hyperplane arrangements.
This proposal addresses classical problems in faceenumeration from new perspectives, as well as suggests new problems and directions in the field.
BEN-GURION UNIVERSITY OF THE NEGEV
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