Skip to main content

Part of the book series: History of Topology ((HIPO,volume 2))

  • 945 Accesses

Abstract

I was inspired to study the history of mathematics by my doctoral dissertation advisor Dr. Charles (Charlie) E. Aull. This is one of the many benefits which my mathematical father has given me (one of the others being the joy of researching both history and mathematics). I can remember that during my three years at Virginia Polytechnic Institute (and State University) history was always on Charlie’s mind — which is probably one of the reasons that we used Topological Structures by Wolfgang Thron as our textbook (probably the other being that Thron is my mathematical grandfather). This provided my introduction into the history of general topology and began my acquaintanceship with the lives and works of Pavel Sergeevich Alexandroffl and Pavel Samuelovich Urysohn. Charlie told me that Alexandroff wanted to have the Memoirs on compact topological spaces translated into English. Acquiring a copy of the original French version, I did so — only to learn later that it was the 1971 Russian version with its voluminous footnotes which Alexandroff wanted translated. This became a project which necessitated my learning to read (and speak, albeit poorly) Russian.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Bing, R.H., Metrization of topological spaces, Canadian J. Math. 3 (1951), 175 - 186.

    Article  MathSciNet  MATH  Google Scholar 

  2. Cameron, D.E., The birth of Soviet topology, Topology Proceedings 7 (1982), 329 - 378.

    MathSciNet  MATH  Google Scholar 

  3. Metrization. The American Mathematical Monthly. 89 (1982), p. 240.

    MathSciNet  Google Scholar 

  4. Dieudonné J., Une généralization des espaces compacts, J. Math. Pures Appl. 23 (1944), 65 - 76.

    MathSciNet  MATH  Google Scholar 

  5. Nagata, J. On a necessary and sufficient condition of metrizability, J. Inst. Polytech. Osaka City Univ. 1 (1950), 93 - 100.

    MathSciNet  Google Scholar 

  6. Smirnov, Yu.M. A necessary and sufficient condition for metrizability of a topological space, Doklady Akad. Nauk S.S.S.R. N.S. 77 (1951), 197 - 200.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Cameron, D.E. (1998). Why I Study the History of Mathematics. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1756-4_12

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1756-4_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5023-6

  • Online ISBN: 978-94-017-1756-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics