Locally finite homology

• General Introduction

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• Search results

  MathSciNet

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  arXiv: Abstract search

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• Online References

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• Paper References

  Carlsson in K-theory handbook, page 28.

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• Definition

  Defined similarly to ordinary homology, but with the the defining chain complexes taken to be "locally finite". The resulting homology groups are functorial with respect to proper continuous maps, and proper homotopy invariant. It is formally dual to Cohomology with compact supports. It agrees with ordinary homology on compact spaces.

  Example: For , the only nontrivial group sits in degree .

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• Properties

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• Standard theorems

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• Open Problems

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• Connections to Number Theory

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• Computations and Examples

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• History and Applications

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• Some Research Articles

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• Other Information

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• Comments Posted

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• Comments

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• General Introduction
• Search results
• Online References
• Paper References
• Definition
• Properties
• Standard theorems
• Open Problems
• Connections to Number Theory
• Computations and Examples
• History and Applications
• Some Research Articles
• Other Information
• Comments Posted
• Comments