{"product_id":"sheaves-on-graphs-their-homological-invariants-and-a-proof-of-the-hanna-neumann-conjecture","title":"Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eAuthor:\u003c\/b\u003e Joel Friedman\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublisher:\u003c\/b\u003e American Mathematical Soc.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublished:\u003c\/b\u003e 2014-12-20\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePages:\u003c\/b\u003e 124\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Soc.","offers":[{"title":"Default Title","offer_id":62808802361715,"sku":"9781470409883","price":200.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0987\/0812\/8115\/files\/content_b8bccbc6-3de1-4492-a15b-2592e250e3cb.jpg?v=1777973610","url":"https:\/\/readaura.store\/products\/sheaves-on-graphs-their-homological-invariants-and-a-proof-of-the-hanna-neumann-conjecture","provider":"Read Aura","version":"1.0","type":"link"}