Part of the book series:Compact Textbooks in Mathematics ((CTM))
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Abstract
The sheaf concept is part of the basic vocabulary of modern geometry and topology. It serves to formalise the transition from the local to the global. However, sheaf theory is much more general; it can even be used to study the foundations of logic. These statements already indicate the generality of the theory. Therefore, we will only try to introduce the basic ideas here leisurely, without claiming to deploy the category-theoretical machine properly. We will naturally not get as far as, for example, the book [MM94], which is well suited for further education in this direction.
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References
Mac Lane, S., & Moerdijk, I. (1994).Sheaves in geometry and logic.A first introduction to topos theory. Springer-Verlag.
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Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany
Gerd Laures
School of Mathematical and Physical Sciences, University of Sheffield, Sheffield, UK
Markus Szymik
- Gerd Laures
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- Markus Szymik
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Laures, G., Szymik, M. (2025). Sheaves. In: A Basic Course in Topology. Compact Textbooks in Mathematics. Birkhäuser, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-70602-2_10
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