Springer Monographs in Mathematics Ser.: Boolean Representations of Simplicial Complexes and Matroids by Pedro V. Silva and John Rhodes (2016, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103319383671
ISBN-139783319383675
eBay Product ID (ePID)240587056
Product Key Features
Number of PagesX, 173 Pages
Publication NameBoolean Representations of Simplicial Complexes and Matroids
LanguageEnglish
SubjectAlgebra / Abstract, Algebra / General, Topology, Geometry / Algebraic
Publication Year2016
TypeTextbook
AuthorPedro V. Silva, John Rhodes
Subject AreaMathematics
SeriesSpringer Monographs in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight101.4 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Dewey Edition23
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal514.3
Table Of Content1. Introduction.- 2. Boolean and superboolean matrices.- 3. Posets and lattices.- 4. Simplicial complexes.- 5. Boolean representations.- 6. Paving simplicial complexes.- 7. Shellability and homotopy type .- 8. Operations on simplicial complexes.- 9. Open questions.
Synopsis1. Introduction.- 2. Boolean and superboolean matrices.- 3. Posets and lattices.- 4. Simplicial complexes.- 5. Boolean representations.- 6. Paving simplicial complexes.- 7. Shellability and homotopy type .- 8. Operations on simplicial complexes.- 9. Open questions., 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.