A weighty theorem of the heart for the algebraic K-theory of higher categories

dc.contributor.advisorBlumberg, Andrew J.
dc.contributor.committeeMemberBarwick, Clark
dc.contributor.committeeMemberBen-Zvi, David
dc.contributor.committeeMemberNeitzke, Andrew
dc.creatorFontes, Ernest Eugene
dc.creator.orcid0000-0002-4150-2942
dc.date.accessioned2017-10-12T14:48:14Z
dc.date.available2017-10-12T14:48:14Z
dc.date.created2017-05
dc.date.issued2017-05-04
dc.date.submittedMay 2017
dc.date.updated2017-10-12T14:48:14Z
dc.description.abstractWe introduce the notion of a bounded weight structure on a stable [infinity symbol]-category and prove a generalization of Waldhausen’s sphere theorem for the algebraic K-theory of higher categories. The algebraic K-theory of a stable [infinity symbol]-category with a bounded non-degenerate weight structure is proven to be equivalent to the algebraic K-theory of the heart of the weight structure. We relate this theorem to previous results as well as new applications.
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdf
dc.identifierdoi:10.15781/T29S1M210
dc.identifier.urihttp://hdl.handle.net/2152/62096
dc.language.isoen
dc.subjectAlgebraic K-theory
dc.subjectHomotopy theory
dc.subjectCategory theory
dc.subjectAlgebraic topology
dc.titleA weighty theorem of the heart for the algebraic K-theory of higher categories
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentMathematics
thesis.degree.disciplineMathematics
thesis.degree.grantorThe University of Texas at Austin
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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