Author: Mary Ellen Rudin
Publisher: American Mathematical Soc.
ISBN: 082181673X
Category : Mathematics
Languages : en
Pages : 82
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This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.
Author: Summer Institute on Set Theoretic Topology (1955, Madison, Wis.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 148
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Author:
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ISBN:
Category :
Languages : en
Pages :
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Author: Daniel S. Freed
Publisher: American Mathematical Soc.
ISBN: 1470452065
Category : Algebraic topology
Languages : en
Pages : 186
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These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Author: Summer Institute on Set Theoretic Topology. 1955, Madison, Wis..
Publisher:
ISBN:
Category :
Languages : en
Pages : 157
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Author: K. Kunen
Publisher: Elsevier
ISBN: 148329515X
Category : Mathematics
Languages : en
Pages : 1282
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Book Description
This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
Author: American Mathematical Society
Publisher:
ISBN:
Category :
Languages : en
Pages : 148
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 157
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 157
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 157
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Book Description
