In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 254 mm
Breite: 178 mm
ISBN-13
978-1-4704-0988-3 (9781470409883)
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Schweitzer Klassifikation
Joel Friedman, University of British Columbia, Vancouver, Canada.
Foundations of sheaves on graphs and their homological invariants
The Hanna Neumann conjecture
Appendix A. A direct view of p-kernels
Appendix B. Joel Friedman's proof of the strengthened Hanna Neumann conjecture by Warren Dicks
Bibliography