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Michael Winter
MICHAEL WINTER is the author of
The Architects Are Here, which was longlisted for the Scotiabank Giller Prize, and
The Big Why, which was shortlisted for the Trillium Book Award and longlisted for the International IMPAC Dublin Literary Award. His previous novel, The Death of Donna Whalen, was nominated for the Writers' Trust Fiction Prize and the Commonwealth Writers' Prize. His first novel,
This All Happened, won the Winterset Award. He is also the recipient of The Writers' Trust Notable Author Award. He divides his time between Toronto and St. John's.
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science.
Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.
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