Abstract
On the singular complex of a space, a local system of acyclic spaces is constructed leading, for Serre fibrations, to a bigraded differential model for the chain complex of the total space.
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A Local System of Spaces and a Bigraded Model of Fibration
Nodar Berikashvili1
1A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: berika@rmi.acnet.ge, URL: http://www.rmi.acnet.ge/˜berika
Citation Information: Georgian Mathematical Journal. Volume 13, Issue 4, Pages 649–658, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2006.649, March 2010
Publication History:
- Received:
- 2006-08-28
- Published Online:
- 2010-03-10
Key words and phrases:: Local system; singular complex; spectral sequence; bigraded model; bigraded algebra
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