The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, ...
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The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.
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Add this copy of Partially Ordered Rings and Semi-Algebraic Geometry to cart. $95.22, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1980 by Cambridge University Press.
Add this copy of Partially Ordered Rings and Semi-Algebraic Geometry to cart. $43.80, good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1979 by Cambridge University Press.
Add this copy of Partially Ordered Rings and Semi-Algebraic Geometry to cart. $81.09, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1979 by Cambridge University Press.
Add this copy of Partially Ordered Rings and Semi-Algebraic Geometry to cart. $82.59, good condition, Sold by Phatpocket Limited rated 5.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1979 by Cambridge University Press.
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