Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture

Joel Friedman (Autor)

Buch | Softcover

106 Seiten

2015
American Mathematical Society (Verlag)
978-1-4704-0988-3 (ISBN)

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Establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. The author then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.

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.

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

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	1-4704-0988-7 / 1470409887
ISBN-13	978-1-4704-0988-3 / 9781470409883
Zustand	Neuware