In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given below) that shows that contact geometry can be studied from an entirely topological viewpoint.
Read more about Open Book Decomposition: Definition and Construction, Giroux Correspondence
Famous quotes containing the words open and/or book:
“The novelist is required to open his eyes on the world around him and look. If what he sees is not highly edifying, he is still required to look. Then he is required to reproduce, with words, what he sees.”
—Flannery O’Connor (1925–1964)
“Adam sat like a lawyer
and read the book of life.”
—Anne Sexton (1928–1974)