• Gunther Schmidt
  • Michael Winter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2208)


There exist lots of concepts around topology: open sets, neighborhoods, transitions to their open kernels, proximity, nearness, betweenness, apartness, different concepts of contact and so on. Although, they are all heavily interrelated, this is often hard to recognize, because they are discussed in quite different settings resp. terminology. We are going to identify the core concepts of those ideas and to show how they may be mutually deduced from one another.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Gunther Schmidt
    • 1
  • Michael Winter
    • 2
  1. 1.Fakultät für InformatikUniversität der Bundeswehr MünchenNeubibergGermany
  2. 2.Department of Computer ScienceBrock UniversitySt. CatharinesCanada

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