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The Fundamental Theorems

  • Douglas S. Bridges
  • Ghanshyam B. Mehta
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 422)

Abstract

The objective of this chapter is to prove the fundamental theorems of Eilen-berg [75] and Debreu ([65], [67]). Of the several approaches that may be used to prove these classical theorems, we have chosen the one based on Debreu1 s Open Gap Lemma.

Keywords

Topological Space Lower Semicontinuous Fundamental Theorem Classical Theorem Order Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Douglas S. Bridges
    • 1
  • Ghanshyam B. Mehta
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of WaikatoHamiltonNew Zealand
  2. 2.Department of EconomicsUniversity of QueenslandBrisbaneAustralia

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