Topology of Stratified Spaces
by Greg Friedman, et al.
Publisher: Cambridge University Press 2011
ISBN/ASIN: 052119167X
ISBN-13: 9780521191678
Number of pages: 477
Description:
This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and interactions among them. It contains more than a dozen expository papers on topics ranging from intersection homology, L2 cohomology and differential operators, to the topology of algebraic varieties, signatures and characteristic classes, mixed Hodge theory, and elliptic genera of singular complex and real agebraic varieties.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
![Book cover: An Elementary Illustrated Introduction to Simplicial Sets](images/11411.jpg)
by Greg Friedman - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(8651 views)
![Book cover: scl](images/4588.jpg)
by Danny Calegari - Mathematical Society of Japan
This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.
(10418 views)
![Book cover: Homotopy Theories and Model Categories](images/4893.jpg)
by W. G. Dwyer, J. Spalinski - University of Notre Dame
This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.
(9338 views)
![Book cover: Topology Illustrated](images/9929.jpg)
by Peter Saveliev - Intelligent Perception
The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.
(12216 views)