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PART IV - TOPICS IN SDT

Published online by Cambridge University Press:  16 March 2018

Marta Bunge ,
Felipe Gago  and
Ana María San Luis
Marta Bunge
Affiliation:
McGill University, Montréal
Felipe Gago
Affiliation:
Universidade de Santiago de Compostela, Spain
Ana María San Luis
Affiliation:
Universidad de Oviedo, Spain
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Summary

In this fourth part we present, within the context of synthetic differential topology (SDT), a theory of stable germs of smooth maps including Mather's theorem on the equivalence between stability and infinitesimal stability, followed by Morse theory. Germ representability by logico-infinitesimal objects brings about a considerable simplification of the subject.

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Synthetic Differential Topology , pp. 125 - 126
Publisher: Cambridge University Press
Print publication year: 2018

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  • TOPICS IN SDT
  • Marta Bunge, McGill University, Montréal, Felipe Gago, Universidade de Santiago de Compostela, Spain, Ana María San Luis, Universidad de Oviedo, Spain
  • Book: Synthetic Differential Topology
  • Online publication: 16 March 2018
  • Chapter DOI: https://doi.org/10.1017/9781108553490.012
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  • TOPICS IN SDT
  • Marta Bunge, McGill University, Montréal, Felipe Gago, Universidade de Santiago de Compostela, Spain, Ana María San Luis, Universidad de Oviedo, Spain
  • Book: Synthetic Differential Topology
  • Online publication: 16 March 2018
  • Chapter DOI: https://doi.org/10.1017/9781108553490.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • TOPICS IN SDT
  • Marta Bunge, McGill University, Montréal, Felipe Gago, Universidade de Santiago de Compostela, Spain, Ana María San Luis, Universidad de Oviedo, Spain
  • Book: Synthetic Differential Topology
  • Online publication: 16 March 2018
  • Chapter DOI: https://doi.org/10.1017/9781108553490.012
Available formats
×