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A comprehensive introduction to selected aspects of modern low-dimensional topology for readers with a knowledge of basic algebra.
Includes reproductions of original paintings by the Group of Seven and contemporary photographs of the locations where the original works were created.
The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The 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 furt her 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. These polyhedra were not manifolds, leaving open the Hauptvermu tung for manifolds. The development of surgery theory le...
This book celebrates the artisitic legacy of eleven artists who broke with tradition and established a new way of painting Canada. Although they called themselves the Group of Seven, the members eventually numbered ten. Tom Thompson, who died before the group was established, was always present in spirit and in the public mind--Page 4 of cover.
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Published to accompany exhibition organized by Dulwich Picture Gallery and the National Gallery of Canada, in collaboration with the National Museum of Art, Architecture and Design, Oslo, and the Groninger Museum.