The DOI matches its Crossref record, with a small difference in title or year.
Sur les groupes fondamentaux des H-espaces
Overview
Integrity signals
Registry
Cites
Statistics
Verification
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?
In the citing paper
“The last statement is given more precision by an important theorem of H. Weyl, saying that the fundamental group of a compact semi-simple group is finite (or that the first Betti number is zero), in other words, that the universal covering group is still compact.”
From Topology of Lie groups (1952) · cites this paper as [13]
In the citing paper
“Using Weyl's theorem it follows then easily that any compact group can actually be obtained as product of (a finite number of) compact, simply connected, simple, semi-simple groups and a torus group, modulo a finite normal subgroup [13; 96].”
From Topology of Lie groups (1952) · cites this paper as [13]
Citations
Cites
Still being checked.
Cited by
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Metadata
- Authors
- Borel, F.
- Corresponding author
- Borel, François
- Publisher
- University of Neuchatel
- Published
- 1976-01-01
- OpenAlex
- W4406374993
- Cited by
- 0
- References
- 0
- Type
- dissertation
- Language
- fr
- Open access
- closed
- 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 › Geometry and Topology › Algebraic Geometry and Number Theory
- Keywords
- fundamental group, H-spaces, homotopy theory, algebraic topology
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 ›
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