(Topological) Maps

Rudolf Fritsch and Gerda Fritsch
Additional contact information
Rudolf Fritsch: Ludwig-Maximilians-Universität München, Mathematisches Institut
Gerda Fritsch: Ludwig-Maximilians-Universität München, Mathematisches Institut

Chapter Chapter 2 in The Four-Color Theorem, 1998, pp 43-84 from Springer

Abstract: Abstract The development of the Four-Color Theorem from a mathematical perspective requires rigorous definitions of its concepts. To organize these ideas is not a simple task, and it requires a certain amount of effort. Inevitably, this will lead to some very abstract thinking. However, initially, we shall be guided by our intuition. Out of this intuition, geometric-topological objects called maps will be realized. Although the fundamental ideas arise in a set-theoretic topological setting, the Four-Color Theorem itself is of a combinatorial nature.

Keywords: Line Segment; Interior Point; Jordan Curve; Exterior Domain; Neutral Point (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1720-6_2

Ordering information: This item can be ordered from
http://www.springer.com/9781461217206

DOI: 10.1007/978-1-4612-1720-6_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().