Type
Text
Type
Dissertation
Advisor
Sullivan, Dennis | Bishop, Christopher | Tannenbaum, Allen | Wilson, Scott.
Date
2017-05-01
Keywords
Mathematics
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76381
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
In statistics cumulants are dened to be functions that measure the linear independence of random variables. Cumulants can be described as functions that measure deviation of a map between algebras from being an algebra morphism. In Algebraic topology maps that are homotopic to being algebra morphisms are studied using the theory of A-infinity and C-infinity algebras. In this thesis we will explore the link between these two points of views on maps between algebras that are not algebra maps. | 56 pages
Recommended Citation
Ranade, Nissim, "Algebraic Methods in Topology and Applications" (2017). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2305.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2305