On the realization space of the cube

Publikation: Bidrag til tidsskriftKonferenceartikelForskningfagfællebedømt


We prove that the realization space of the d-dimensional cube is contractible. For this we first show that any two realizations are connected by a finite sequence of projective transformations and normal transformations. As an application we use this fact to define an analog of the connected sum construction for cubical d-polytopes, and apply this construction to certain cubical d-polytopes to conclude that the rays spanned by f-vectors of cubical d-polytopes are dense in Adin's cone. The connectivity result on cubes extends to any product of simplices, and further, it shows the respective realization spaces are contractible.
TidsskriftSéminaire Lotharingien de Combinatoire
Antal sider12
StatusUdgivet - 2020
Begivenhed32nd Conference on Formal Power Series and Algebraic Combinatorics ( - Online
Varighed: 6 jul. 202024 jul. 2020


Konference32nd Conference on Formal Power Series and Algebraic Combinatorics (

Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk

Ingen data tilgængelig

ID: 257708934