CoChat
Sign Up
Cited by 115Homotopy and Cohomology in Algebraic TopologyGeometric and Algebraic TopologyAdvanced Operator Algebra Research

K-THEORY AND THE HOPF INVARIANT

ADAMS, J. F., ATIYAH, M. F.·1966·The Quarterly Journal of Mathematics
DOI 10.1093/qmath/17.1.31
Open this paper in CoChat — free account

Abstract

J. F. ADAMS, M. F. ATIYAH; K -THEORY AND THE HOPF INVARIANT , The Quarterly Journal of Mathematics, Volume 17, Issue 1, 1 January 1966, Pages 31–38, https:

Integrity signals

Registry

Crossref · 10.1093/qmath/17.1.31

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • It is possible to prove nonexistence of elements of Hopf invariant one by extraordinary cohomology methods and also to calculate Adams differentials.

    “In this way it is possible not only to prove the nonexistence of elements of Hopf invariant one by the methods of extraordinary cohomology theory as in [4] (see also § §9, 10), but also to calculate Adams differentials.”

    From THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY (1967) · cites this paper as [4]

Cited by

Sorted by citations

Authors
ADAMS, J. F., & ATIYAH, M. F.
ORCID
ADAMS, J. F.
Venue
The Quarterly Journal of Mathematics
Publisher
Oxford University Press (OUP)
Published
1966
Volume
17
Issue
1
Pages
31-38
ISSN
  • 0033-5606 (ISSN-L)
  • 1464-3847
DOI
10.1093/qmath/17.1.31
OpenAlex
W2168976044
Cited by
115
References
0
Citations by year
2026: 1 · 2025: 2 · 2024: 1 · 2023: 5 · 2021: 4 · 2020: 2 · 2018: 17 · 2017: 4 · 2016: 8 · 2013: 1 · 2012: 2
FWCI
3.57
Type
journal article
Language
en
Open access
closed
Locations
The Quarterly Journal of Mathematics (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
  • Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
  • Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
Keywords
K-theory, Hopf invariant, vector bundles, stable homotopy theory

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review