Boolean representations of simplicial complexes and matroids /
General Material Designation
[Book]
First Statement of Responsibility
John Rhodes, Pedro V. Silva
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 173 pages) :
Other Physical Details
illustrations.
SERIES
Series Title
Springer monographs in mathematics,
ISSN of Series
1439-7382
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and indexes
SUMMARY OR ABSTRACT
Text of Note
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. ℗l 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