Directed Algebraic Topology
-
Select format
-
- Publisher:
- Cambridge University Press
- Publication date:
- 19 January 2010
- 17 September 2009
- ISBN:
- 9780511657474
- 9780521760362
- Dimensions:
- (228 x 152 mm)
- Weight & Pages:
- 0.77kg, 444 Pages
- Dimensions:
- Weight & Pages:
- Series:
- New Mathematical Monographs (13)
You may already have access via personal or institutional login- Series:
- New Mathematical Monographs (13)
Show more authors 
You may already have access via personal or institutional login
Book description
This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible. Its homotopical tools (corresponding in the classical case to ordinary homotopies, fundamental group and fundamental groupoid) should be similarly 'non-reversible': directed homotopies, fundamental monoid and fundamental category. Homotopy constructions occur here in a directed version, which gives rise to new 'shapes', like directed cones and directed spheres. Applications will deal with domains where privileged directions appear, including rewrite systems, traffic networks and biological systems. The most developed examples can be found in the area of concurrency.
Contents
Contents
Metrics
Full text views
Full text views helpTotal number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...
* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.
Usage data cannot currently be displayed.
Accessibility standard: Unknown
Why this information is here
This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.
Accessibility Information
Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.