{"product_id":"9789048147359-the-hauptvermutung-book","title":"The Hauptvermutung Book","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eA Collection of Papers on the Topology of Manifolds\u003cbr\u003eThe Hauptvermutung is the conjecture that any two triangulations of a poly­ hedron are combinatorially equivalent. Unfortunately, the published record of the manifold Hauptvermutung has been incomplete, as was forcefully pointed out by Novikov in his lecture at the Browder 60th birthday conference held at Princeton in March 1994.\u003cbr\u003eThe Hauptvermutung is the conjecture that any two  triangulations of a polyhedron are combinatorially equivalent. This  conjecture was formulated at the turn of the century, and until its  resolution was a central problem of topology. Initially, it was  verified for low-dimensional polyhedra, and it might have been  expected that further development of high-dimensional topology would  lead to a verification in all dimensions. However, in 1961 Milnor  constructed high-dimensional polyhedra with combinatorially  inequivalent triangulations, disproving the Hauptvermutung in general.  Then, the development of surgery theory led to the disproof of the  high-dimensional manifold Hauptvermutung in the late 1960s. Up to now, the published record of the Hauptvermutung has been  incomplete. This volume brings together the original papers of Casson  and Sullivan (1967), and the 'Princeton Notes on the Hauptvermutung'  of Armstrong, Rourke and Cooke (1968\/1972). They include several  results which have become part of mathematical folklore, but of which  proofs had never been published.The material is complemented by an  introduction on the Hauptvermutung and an account of recent  developments in the area. Also, references have been updated wherever  possible. Audience: This book will be valuable to all mathematicians  interested in the topology of manifolds, geometry, and differential  geometry.\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":57106804572534,"sku":"9789048147359","price":161.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_28230739.jpg?v=1768889937","url":"https:\/\/www.rarewaves.com\/products\/9789048147359-the-hauptvermutung-book","provider":"Rarewaves.com","version":"1.0","type":"link"}