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dc.identifier.urihttp://hdl.handle.net/11401/76381
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractIn 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.
dcterms.available2017-09-20T16:50:08Z
dcterms.contributorSullivan, Dennisen_US
dcterms.contributorBishop, Christopheren_US
dcterms.contributorTannenbaum, Allenen_US
dcterms.contributorWilson, Scott.en_US
dcterms.creatorRanade, Nissim
dcterms.dateAccepted2017-09-20T16:50:08Z
dcterms.dateSubmitted2017-09-20T16:50:08Z
dcterms.descriptionDepartment of Mathematicsen_US
dcterms.extent56 pg.en_US
dcterms.formatMonograph
dcterms.formatApplication/PDFen_US
dcterms.identifierhttp://hdl.handle.net/11401/76381
dcterms.issued2017-05-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:50:08Z (GMT). No. of bitstreams: 1 Ranade_grad.sunysb_0771E_13240.pdf: 707846 bytes, checksum: 80138389459d9f8c9922fa4414e4c723 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectMathematics
dcterms.titleAlgebraic Methods in Topology and Applications
dcterms.typeDissertation


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