The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Maximale Toroide und singuläre Elemente in geschlossenen Lieschen Gruppen
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Claims the paper makes
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?
Ui has at most two components.
“(9.4) Ui has at most two components,”
From An application of the Morse theory to the topology of Lie-groups (1956) · cites this paper as [7]
dim u_i ∩ u_j = l-2 if i≠j.
“(9.3) dim^n^/:=^-2 if i^j.”
From An application of the Morse theory to the topology of Lie-groups (1956) · cites this paper as [7]
Citations
Cites
Zur Homotopietheorie gefaserter Räume
Eckmann, B. (1941) · Commentarii Mathematici Helvetici · doi:10.1007/bf02565616 · Cited by 32
Flagged first, then by citations
Research works printed but not linked: 1
- J. Feldbau, Sur la classification des espaces fibrés, C. R.208 (1939), 1621–1623, Théorème A.
Cited by
Sorted by citations
An application of the Morse theory to the topology of Lie-groups
Bott, R. (1956) · Bulletin de la Société mathématique de France · doi:10.24033/bsmf.1472 · Cited by 280
Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219
Metadata
- Authors
- Hopf, H.
- Corresponding author
- Hopf, Heinz
- Venue
- Commentarii Mathematici Helvetici
- Published
- 1942-12
- Volume
- 15
- Issue
- 1
- Pages
- 59-70
- ISSN
- 0010-2571 (ISSN-L)
- 1420-8946
- OpenAlex
- W2088908403
- Cited by
- 15
- References
- 1
- FWCI
- 0.00
- Type
- journal article
- Language
- de
- Open access
- green
- doi.org
- Locations
- Commentarii Mathematici Helvetici (publishedVersion)
- E-Periodica
- Topics
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Keywords
- maximal tori, singular elements, compact Lie groups, algebraic groups
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.
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