Abstract
Manifolds are a particulary important class of topological spaces. On the one hand, there are branches of topology entirely dedicated to studying them, and on the other hand, they appear throughout much of mathematics. It would take us too far afield to describe how they arise, but they have very special properties from the point of view of algebraic topology. It is these that we investigate here.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Weintraub, S.H. (2014). Manifolds. In: Fundamentals of Algebraic Topology. Graduate Texts in Mathematics, vol 270. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1844-7_6
Download citation
DOI: https://doi.org/10.1007/978-1-4939-1844-7_6
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-1843-0
Online ISBN: 978-1-4939-1844-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)