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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Derived Manifolds from Functors of Points

Derived Manifolds from Functors of Points

Vogler, Franz

Paperback

Series: Augsburger Schriften Zur Mathematik, Physik Und Informatik, Book 22

General Mathematics

Currently unavailable to order

ISBN10: 3832534059
ISBN13: 9783832534059
Publisher: Logos Verlag Berlin
Published: May 10 2013
Pages: 158
Weight: 0.50
Height: 0.40 Width: 5.68 Depth: 8.04
Language: English
In this thesis a functorial approach to the category of derived manifolds is developed. We use a similar approach as Demazure and Gabriel did when they described the category of schemes as a full subcategory of the category of sheaves on the big Zariski site. Their work is further developed leading to the definition of C#-schemes and derived manifolds as certain sheaves on appropriate big sites. The new description of C#-schemes and derived manifolds via functors is compared to the previous approaches via locally ringed spaces given by D. Joyce and D. Spivak. Furthermore, it is proven that both approaches lead to equivalent categories.

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