On C 1 -Complexes
Integrity signals
Registry
Cites
Statistics
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?
Every manifold can be triangulized, i.e. is isomorphic to some union of open simplices; this was originally known for nonanalytic manifolds and later extended to semianalytic sets in analytic manifolds.
“The deeper reason behind the investigation of simplices above is the fact that every manifold can be triangulized; this means, roughly speaking, it is isomorphic to some union of (open) simplices.”
From Representations of the Weyl Algebra in Quantum Geometry (2009) · cites this paper as [37]
Cited by
Sorted by citations
Representations of the Weyl Algebra in Quantum Geometry
Fleischhack, C. (2009) · Communications in Mathematical Physics · doi:10.1007/s00220-008-0593-3 · Cited by 183 · see citing works
- Authors
- Whitehead, J. H. C.
- Corresponding author
- Whitehead, J. H. C.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1940-10
- Volume
- 41
- Issue
- 4
- Pages
- 809
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2319530283
- Cited by
- 221
- References
- 0
- Citations by year
- 2026: 6 · 2025: 7 · 2024: 10 · 2023: 2 · 2022: 7 · 2021: 2 · 2020: 6 · 2019: 6 · 2018: 23 · 2017: 5 · 2016: 11 · 2015: 5 · 2014: 6 · 2013: 6 · 2012: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Annals of Mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Keywords
- C1 complex, simplicial complexes, simplicial homology, simplicial homotopy theory, simplicial sets
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
