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Novodvorskii's theorem and the Oka principle

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Jacob Bradd, Nigel Higson

K-Theory and Homology · Submitted 19 Oct 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We give an exposition of Novodvorskii's theorem in Banach algebra K-theory, asserting that the Gelfand transform for a commutative Banach algebra induces an isomorphism in topological K-theory.

how it is stated · asserted 1.00 read the record →

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arXiv ID2010.09428 (version 1)
Pith IDNHIQPJXT, Pith's permanent record of this paper and its review
CitationJacob Bradd, Nigel Higson. "Novodvorskii's theorem and the Oka principle." arXiv:2010.09428 (2020). https://pith.science/paper/NHIQPJXT
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,652 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We give an exposition of Novodvorskii's theorem in Banach algebra K-theory, asserting that the Gelfand transform for a commutative Banach algebra induces an isomorphism in topological K-theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We give an exposition of Novodvorskii's theorem in Banach algebra K-theory, asserting that the Gelfand transform for a commutative Banach algebra induces an isomorphism in topological K-theory. contribution 0.94 0.43 0.74 asserted 1.00

What kind of paper the classifier reports this is: review 0.92 · evidence from proof or derivation 0.54.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We give an exposition of Novodvorskii's theorem in Banach algebra K-theory, asserting that the Gelfand transform for a commutative Banach algebra induces an isomorphism in topological K-theory.

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