An Infinite Dimensional Version of Sard's Theorem

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Cite
Smale, S. “An Infinite Dimensional Version of Sard’s Theorem”. American Journal of Mathematics, vol. 87, no. 4, 1965, p. 861, https://doi.org/10.2307/2373250.
Smale, S. (1965). An Infinite Dimensional Version of Sard’s Theorem. American Journal of Mathematics, 87(4), 861. https://doi.org/10.2307/2373250
Smale S. An Infinite Dimensional Version of Sard’s Theorem. American Journal of Mathematics. 1965;87(4):861.
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Science
Mathematics
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Citations Analysis
Category Category Repetition
Science: Mathematics253
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods94
Science: Physics16
Social Sciences: Commerce: Business9
Social Sciences: Economic theory. Demography: Economics as a science9
Science: Physics: Atomic physics. Constitution and properties of matter6
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics6
Technology: Mechanical engineering and machinery6
Social Sciences: Statistics6
Technology: Engineering (General). Civil engineering (General)5
Science: Astronomy2
Science: Science (General)2
Science: Mathematics: Analysis2
Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity1
Science: Physics: Geophysics. Cosmic physics1
Science: Geology1
Technology: Technology (General): Industrial engineering. Management engineering1
Technology: Manufactures: Production management. Operations management1
Science: Mathematics: Probabilities. Mathematical statistics1
Technology: Electrical engineering. Electronics. Nuclear engineering1
The category Science: Mathematics 253 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A note on Sard’s theorem in Banach spaces and was published in 1966. The most recent citation comes from a 2024 study titled Geometric analysis of the generalized surface quasi-geostrophic equations. This article reached its peak citation in 2021, with 16 citations. It has been cited in 113 different journals, 10% of which are open access. Among related journals, the Journal of Functional Analysis cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year