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Topos
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Geliefert zwischen Mi., 08.04.2026 und Do., 09.04.2026
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High Quality Content by WIKIPEDIA articles! In mathematics, a topos (plural "topoi" or "toposes") is a type of category that behaves like the category of sheaves of sets on a topological space. For a discussion of the history of topos theory, see the article Background and genesis of topos theory. Since the introduction of sheaves into mathematics in the 1940s a major theme has been to study a space by studying sheaves on that space. This idea was expounded by Alexander Grothendieck by introducing the notion of a topos. The main utility of this notion is in the abundance of situations in mathematics where topological intuition is very effective but an honest topological space is lacking; it is sometimes possible to find a topos formalizing the intuition. The greatest single success of this programmatic idea to date has been the introduction of the étale topos of a scheme.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130330293
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B5mm x T150mm
- Jahr 2009
- EAN 9786130330293
- Format Fachbuch
- ISBN 978-613-0-33029-3
- Titel Topos
- Untertitel Mathematics, Category (mathematics), Sheaf (mathematics), Topological Space, Background and Genesis of Topos Theory, Scheme (mathematics), Adjoint Functors
- Gewicht 135g
- Herausgeber Betascript Publishers
- Anzahl Seiten 88
- Genre Mathematik
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