科图分类法:
O153.2 版次:
中图分类法:
O153.2 版次:
著者:
Rhodes, John L.,
题名:
Boolean representations of simplicial complexes and matroids / / ,
出版发行:
出版地: Cham : 出版社: Springer, 出版日期: c2015.
载体形态:
x, 173 pages : illustrations ; 25 cm.
内容提要:
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 perfor