{"id":{"repo_id":"texas","oai_identifier":"oai:repositories.lib.utexas.edu:2152/62096"},"canonical_url":"https://search.dev.ndltd.org/etd/texas/oai:repositories.lib.utexas.edu:2152/62096","repository":{"repo_id":"texas","name":"University of Texas","base_url":"https://repositories.lib.utexas.edu/server/oai/request"},"display":{"title":"A weighty theorem of the heart for the algebraic K-theory of higher categories","abstract":"We 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. 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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. 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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:format.mimetype":["application/pdf"],"dc:identifier":["doi:10.15781/T29S1M210"],"dc:identifier.uri":["http://hdl.handle.net/2152/62096"],"dc:language.iso":["en"],"dc:subject":["Algebraic K-theory","Homotopy theory","Category theory","Algebraic topology"],"dc:title":["A weighty theorem of the heart for the algebraic K-theory of higher categories"],"dc:type":["Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Doctor of Philosophy"],"thesis:institution_name":["The University of Texas at Austin"]},"updated_at":"2026-07-24T05:01:04Z"}