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Details of Grant 

EPSRC Reference: GR/M27845/01
Title: CONNECTIVE K-THEORY OF CLASSIFYING SPACES AND GEOMETRY
Principal Investigator: Greenlees, Professor J
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics and Statistics
Organisation: University of Sheffield
Scheme: Standard Research (Pre-FEC)
Starts: 10 July 1998 Ends: 09 August 1998 Value (£): 1,760
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
1. Calculate connective K-theory of finite abelian groups.2. Express result in functorial fashion.3. Investigate detection of connective K-theory of groups on subgroups.3. Investigate detection of connective K-theory of groups on subgroups.4. Calculate nonabelian, nonperiodic examples.5. Seek reduction analogous to Quillens to express periodic real equivariant K-theory in terms of a small class of groups.6. Repeat steps 1-4 for real periodic K-theory.7. Repeat steps 1-5 for real connective K-theory.Algebraic topology, connective K-theory, classifying spaces, cohomology rings.
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Organisation Website: http://www.shef.ac.uk