portada Boolean Representations of Simplicial Complexes and Matroids (en Inglés)

Boolean Representations of Simplicial Complexes and Matroids (en Inglés)

Formato

Libro Físico

Autor

John Rhodes

Pedro V. Silva

Editorial

Springer

Idioma

Inglés

N° páginas

173

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1 cm

Peso

0.27 kg.

ISBN13

9783319383675

Categorías

Álgebra
Geometría algebraica
Topología

Boolean Representations of Simplicial Complexes and Matroids (en Inglés)

John Rhodes (Autor) · Pedro V. Silva (Autor) · Springer · Tapa Blanda

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Reseña del libro "Boolean Representations of Simplicial Complexes and Matroids (en Inglés)"

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context. Graduate students and researchers working in the areas of combinatorics, geometry, topology, algebra and lattice theory will find this monograph appealing due to the wide range of new problems raised by the theory. Combinatorialists will find this extension of the theory of matroids useful as it opens new lines of research within and beyond matroids. The geometric features and geometric/topological applications will appeal to geometers. Topologists who desire to perform algebraic topology computations will appreciate the algorithmic potential of boolean representable complexes.