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This paper shows that the simplicial type of a finite simplicial complex $K$ is determined by its algebra $A$ of polynomial functions on the baricentric coordinates with coefficients in any integral domain. The link between $K$ and $A$ is done through certain admissible matrix associated to $K$ in a natural way. This result was obtained for the real numbers by I. V. Savel’ev [5], using methods of real algebraic geometry. D. Kan and E. Miller had shown in [2] that $A$ determines the homotopy type of the polyhedron...

Simply connected coset complexes for rank 1 groups of Lie type.

Yoav Segev (1994)

Mathematische Zeitschrift

Some geometric perspectives in concurrency theory.

Goubault, Eric (2003)

Homology, Homotopy and Applications

Sur les limites homotopiques de diagrammes homotopiquement cohérents

J. M. Cordier (1987)

Compositio Mathematica

Systolic invariants of groups and $2$ -complexes via Grushko decomposition

Yuli B. Rudyak, Stéphane Sabourau (2008)

Annales de l’institut Fourier

We prove a finiteness result for the systolic area of groups. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of $2$ -complexes whose systolic area is uniformly bounded. We also show that the number of freely indecomposable such groups grows at least exponentially with the bound on the systolic area. Furthermore, we prove a uniform systolic inequality for all $2$ -complexes with unfree fundamental group that improves the previously known bounds in this dimension....

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Simplicial T-complexes and crossed complexes: a non-abelian version of a theorem of Dold and Kan [Book]

Currently displaying 1 – 14 of 14