Join Geometries A Theory of Convex Sets and Linear Geometry
The main object of this book is to reorient and revitalize classical geometry in a way that will bring it closer to the mainstream of contemporary mathematics. The postulational basis of the subject will be radically revised in order to construct a broad-scale and conceptually unified treatment. The...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1979, 1979
|
| Edition: | 1st ed. 1979 |
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 The Join and Extension Operations in Euclidean Geometry
- 2 The Abstract Theory of Join Operations
- 3 The Generation of Convex Sets—Convex Hulls
- 4 The Operation of Extension
- 5 Join Geometries
- 6 Linear Sets
- 7 Extremal Structure of Convex Sets: Components and Faces
- 8 Rays and Halfspaces
- 9 Cones and Hypercones
- 10 Factor Geometries and Congruence Relations
- 11 Exchange Join Geometries—The Theory of Incidence and Dimension
- 12 Ordered Join Geometries
- 13 The Structure of Polytopes in an Ordered Geometry
- References