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The basic sequence problem

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Nigel J. Kalton

Functional Analysis · Submitted 16 Aug 1994

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

The authors' main claim We construct a quasi-Banach space $X$ which contains no basic sequence.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/9408205 (version 1)
Pith IDDS35F232, Pith's permanent record of this paper and its review
CitationNigel J. Kalton. "The basic sequence problem." arXiv:math/9408205 (1994). https://pith.science/paper/DS35F232
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,552 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We construct a quasi-Banach space $X$ which contains no basic sequence.

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 construct a quasi-Banach space $X$ which contains no basic sequence. contribution 0.54 0.95 0.89 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 construct a quasi-Banach space $X$ which contains no basic sequence.

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