• Raoul Bott
  • Loring W. Tu
Part of the Graduate Texts in Mathematics book series (GTM, volume 82)


The most intuitively evident topological invariant of a space is the number of connected pieces into which it falls. Over the past one hundred years or so we have come to realize that this primitive notion admits in some sense two higher-dimensional analogues. These are the homotopy and cohomology groups of the space in question.


Spectral Sequence Homotopy Group Homotopy Theory Homotopy Category Path Component 
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 Science+Business Media New York 1982

Authors and Affiliations

  • Raoul Bott
    • 1
  • Loring W. Tu
    • 2
  1. 1.Mathematics DepartmentHarvard UniversityCambridgeUSA
  2. 2.Department of MathematicsTufts UniversityMedfordUSA

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