Mathematical Methods for Economic Theory 2

1. Front Matter

   Pages i-x

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2. An Introduction to Topology

   • James C. Moore

   Pages 1-49

3. Additional Topics in Topology

   • James C. Moore

   Pages 51-110

4. Correspondences

   • James C. Moore

   Pages 111-182

5. Banach Spaces

   • James C. Moore

   Pages 183-225

6. Topological Vector Spaces

   • James C. Moore

   Pages 227-275

7. Selection and Fixed-Point Theorems

   • James C. Moore

   Pages 277-327

8. Back Matter

   Pages 329-339

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This is the second of a two-volume work intended to function as a textbook well as a reference work for economic for graduate students in economics, as scholars who are either working in theory, or who have a strong interest in economic theory. While it is not necessary that a student read the first volume before tackling this one, it may make things easier to have done so. In any case, the student undertaking a serious study of this volume should be familiar with the theories of continuity, convergence and convexity in Euclidean space, and have had a fairly sophisticated semester's work in Linear Algebra. While I have set forth my reasons for writing these volumes in the preface to Volume 1 of this work, it is perhaps in order to repeat that explanation here. I have undertaken this project for three principal reasons. In the first place, I have collected a number of results which are frequently useful in economics, but for which exact statements and proofs are rather difficult to find; for example, a number of results on convex sets and their separation by hyperplanes, some results on correspondences, and some results concerning support functions and their duals. Secondly, while the mathematical top­ ics taken up in these two volumes are generally taught somewhere in the mathematics curriculum, they are never (insofar as I am aware) done in a two-course sequence as they are arranged here.

• Connected space
• Economic Theory
• Mathematical Methods
• Mathematics
• Mathematik
• Wirtschaftstheorie
• mathematische Methoden
• set

• Krannert School of Management, Purdue University, West Lafayette, USA

  James C. Moore

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