Forms of Space

Saunders Mac Lane
Additional contact information
Saunders Mac Lane: University of Chicago, Department of Mathematics

Chapter Chapter VIII in Mathematics Form and Function, 1986, pp 219-258 from Springer

Abstract: Abstract Perceptions of space and of motions in space have led mathematicians to describe a wide variety of formal geometrical structures. In this chapter we will introduce a few of these structures, beginning with the description of arc length and of various curvatures, and going on to topological spaces, sheaves, manifolds, and the like. It will appear that the role of intuitive ideas is very important in the analysis of such geometric structures—and that it often is a long time before evident geometric intuitions are brought to a clear formal expression. These expressions provide many different forms for the elusive idea of “space”.

Keywords: Riemann Surface; Topological Space; Projective Plane; Tangent Vector; Gaussian Curvature (search for similar items in EconPapers)
Date: 1986
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:978-1-4612-4872-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9781461248729

DOI: 10.1007/978-1-4612-4872-9_9

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 ().