The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
On the groups J(X)—IV
Open accessOverview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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 · Cited by 115
Self-citationAdams, J. F. (1963) · Topology · doi:10.1016/0040-9383(63)90001-6 · Cited by 90
Self-citation
Research works printed but not linked: 14
- Adams, 1961, On Chern characters and the structure of the unitary group, Proc. Camb. Phil. Soc., 57, 189, 10.1017/S0305004100035052 · doi:10.1017/s0305004100035052
- Adams, 1962, Vector field on spheres, Ann. Math., 75, 603, 10.2307/1970213 · DOI · Paper page
- Adams, 1965, On the groups J(X)—II, Topology, 3, 137, 10.1016/0040-9383(65)90040-6 · DOI
- Adams, 1965, On the groups J(X)—III, Topology, 3, 193, 10.1016/0040-9383(65)90054-6 · DOI
- Adams, 1962, Lectures on K∗(X)
- Adams, 1963, Cohomology operations
- Adams, 1965, Complex Stiefel Manifolds, Proc. Camb. Phil. Soc., 61, 81, 10.1017/S0305004100038688 · DOI
- Atiyah, 1959, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math. Soc., 65, 276, 10.1090/S0002-9904-1959-10344-X · DOI · Paper page
- Dold, 1963, Half exact functors and cohomology
- Dyer, 1963, Chern characters of certain complexes, Math. Z., 80, 363, 10.1007/BF01162393 · DOI
- Puppe, 1958, Homotopiemengen und ihre induzierten Abbildungen. I, Math. Z., 69, 299, 10.1007/BF01187411 · doi:10.1007/bf01187411
- Toda, 1959, p-primary components of homotopy groups. IV. Compositions and toric constructions, Mem. Coll. Sci. Kyoto, A 32, 297, 10.1215/kjm/1250776579 · doi:10.1215/kjm/1250776579
- Toda, 1960, On unstable homotopy of spheres and classical groups, Proc. Nat. Acad. Sci., Wash., 46, 1102, 10.1073/pnas.46.8.1102 · doi:10.1073/pnas.46.8.1102
- Toda, 1963, A survey of homotopy theory, Sǔgaku, 15, 141
Cited by
Nilpotence and Stable Homotopy Theory I
Devinatz, E. S., Hopkins, M. J., & Smith, J. H. (1988) · The Annals of Mathematics · doi:10.2307/1971440 · Cited by 400
Curtis, E. B. (1971) · Advances in Mathematics · doi:10.1016/0001-8708(71)90015-6 · Cited by 304
Genetics of Homotopy Theory and the Adams Conjecture
Sullivan, D. (1974) · The Annals of Mathematics · doi:10.2307/1970841 · Cited by 276
THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY
Novikov, S. P. (1967) · Mathematics of the USSR-Izvestiya · doi:10.1070/im1967v001n04abeh000591 · Cited by 235
Quillen, D. (1971) · Topology · doi:10.1016/0040-9383(71)90018-8 · Cited by 195
Metadata
- Authors
- Adams, J. F.
- Venue
- Topology
- Publisher
- Elsevier BV
- Published
- 1966-03
- Volume
- 5
- Issue
- 1
- Pages
- 21-71
- ISSN
- 0040-9383 (ISSN-L)
- OpenAlex
- W1987649400
- Cited by
- 589
- References
- 2
- FWCI
- 22.96
- Type
- journal article
- Language
- en
- Open access
- bronze
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (vor, 17306 d)
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the groups J(X)—IV. https://app.cochat.ai/papers/10.1016/0040-9383(66)90004-8
- The paper
- Adams, J. F. (1966). On the groups J(X)—IV. Topology. https://doi.org/10.1016/0040-9383(66)90004-8
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.