Abstract
Up to now, we have been able to construct all basic number domains ℕ, ℤ, ℚ, ℝ, ℂ. But we have not considered geometric objects. This chapter begins to fill that gap. It introduces the most elementary geometric objects: graphs—systems of points and arrows connected by directed or undirected lines. We shall conclude part IV with the introduction of higher-dimension graphical objects that relate to coverings of sets by a system of subsets.
Original language | English (US) |
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Title of host publication | Computational Music Science |
Publisher | Springer Nature |
Pages | 121-127 |
Number of pages | 7 |
DOIs | |
State | Published - 2016 |
Publication series
Name | Computational Music Science |
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ISSN (Print) | 1868-0305 |
ISSN (Electronic) | 1868-0313 |
Bibliographical note
Publisher Copyright:© 2016, Springer International Publishing Switzerland.
Keywords
- Category Theory
- Hamilton Cycle
- Span Tree
- Undirected Graph
- Unordered Pair