Abstract
This chapter starts with the notion of a sheaf F on a topological space X. Such a sheaf is a way of describing a class of functions on X- especially classes of “good” functions, such as the functions on (parts of) X which are continuous or which are differentiable. The description tells the way in which a function f defined on an open subset U of X can be restricted to functions f ∣v on open subsets V ⊂ U and then can be recovered by piecing together (collating) the restrictions to the open subsets Vi of a covering of U. This restriction-collation description applies not just to functions, but also to other mathematical structures defined “locally” on a space X.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
