Abstract
We find lower bounds on the topology of the fibers of continuous maps F: X → Y in terms of combinatorial invariants of certain polyhedra and/or of the cohomology algebras H*(X). Our exposition is conceptually related to but essentially independent of Part 1 of the paper.
Original language | English (US) |
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Pages (from-to) | 416-526 |
Number of pages | 111 |
Journal | Geometric and Functional Analysis |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - 2010 |
Keywords
- Expanders
- Isoperimetric inequalities
- Semisimplicial complexes
- Spaces of cycles
ASJC Scopus subject areas
- Analysis
- Geometry and Topology