The DOI matches its Crossref record; 28 of the 29 references it cites were found in a registry or an index.
Simplicial homotopy theory
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“sense that a continuous map f : X → Y induces a map of sets π 0 (f ) : π 0 (X) → π 0 (Y ), satisfying certain obvious conditions on composite maps and identity maps.”
From Topology and data (2009) · cites this paper as [19]
Citations
Cites
Foundations of Algebraic Topology
Eilenberg, S., & Steenrod, N. E. (1952) · Princeton University Press eBooks · doi:10.1515/9781400877492 · Cited by 1,660
(1993) · Medical Entomology and Zoology · Cited by 1,116
Quillen, D. G. (1967) · Lecture notes in mathematics · doi:10.1007/bfb0097438 · Cited by 920
Adams, J. F. (1966) · Topology · doi:10.1016/0040-9383(66)90004-8 · Cited by 589
James, I. M. (1955) · Annals of Mathematics · doi:10.2307/2007107 · Cited by 367
The Geometric Realization of a Semi-Simplicial Complex
Milnor, J. (1957) · Annals of Mathematics · doi:10.2307/1969967 · Cited by 284
Homologie nicht-additiver Funktoren. Anwendungen
Dold, A., & Puppe, D. (1961) · Annales de l’institut Fourier · doi:10.5802/aif.114 · Cited by 279
Homology of Symmetric Products and Other Functors of Complexes
Dold, A. (1958) · Annals of Mathematics · doi:10.2307/1970043 · Cited by 274
On the structure and applications of the steenrod algebra
Adams, J. F. (1958) · Commentarii Mathematici Helvetici · doi:10.1007/bf02564578 · Cited by 233
Adams, J. F. (1956) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.42.7.409 · Cited by 231
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Items 301–309 of 309
On the homotopy fixed points of Maurer–Cartan spaces with finite group actions
Moreno-Fernández, J. M., & Wierstra, F. (2024) · Kyoto journal of mathematics · doi:10.1215/21562261-2024-0004
Geometric Invariants of Locally Compact Groups: The Homotopical Perspective
Bux, K., Hartmann, E., & Quintanilha, J. P. (2026) · Transformation Groups · doi:10.1007/s00031-026-09942-6
Simplicial Lie-Rinehart Algebras with Related Structures
AYTEKİN, A., & Koçak, M. (2025) · Ordu Üniversitesi Bilim ve Teknoloji Dergisi · doi:10.54370/ordubtd.1581038
The Rost–Schmid Complex of a Strongly $${\mathbb{A}}^{1}$$ -Invariant Sheaf
Morel, F. (2012) · Lecture notes in mathematics · doi:10.1007/978-3-642-29514-0_5
Morel, F. (2012) · Lecture notes in mathematics · doi:10.1007/978-3-642-29514-0_7
SIMPLICIAL COENDOMORPHISM OPERADS AND COALGEBRAS
Flynn-Connolly, O. (2026) · Bulletin of the Australian Mathematical Society · doi:10.1017/s0004972726101294
Higher holonomy for curved L∞-algebras 1: simplicial methods
Getzler, E. (2026) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2024.0400
$${\mathbb{A}}^{1}$$ -Homotopy and Algebraic Vector Bundles
Morel, F. (2012) · Lecture notes in mathematics · doi:10.1007/978-3-642-29514-0_8
Geometric Versus Canonical Transfers
Morel, F. (2012) · Lecture notes in mathematics · doi:10.1007/978-3-642-29514-0_4
Metadata
- Authors
- Curtis, E. B.
- Affiliations
- Aarhus University (DK)
- Corresponding author
- Curtis, Edward B
- ORCID
- Curtis, Edward B
- Venue
- Advances in Mathematics
- Publisher
- Elsevier BV
- Published
- 1971-04
- Volume
- 6
- Issue
- 2
- Pages
- 107-209
- ISSN
- 0001-8708 (ISSN-L)
- OpenAlex
- W1971238472
- Cited by
- 304
- References
- 29
- Citations by year
- 2026: 6 · 2025: 3 · 2024: 7 · 2023: 8 · 2022: 7 · 2021: 9 · 2020: 3 · 2019: 6 · 2018: 15 · 2017: 4 · 2016: 7 · 2015: 5 · 2014: 9 · 2013: 10 · 2012: 19
- FWCI
- 2.34
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Advances in 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 › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
- Keywords
- simplicial sets, simplicial homotopy theory, homotopy theory
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