Email this article Every group is the group of self-homotopy equivalences of a finite- dimensional CW-complex
- Authors: Benkhalifa M.1
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Affiliations:
- University of Sharjah
- Issue: Vol 215, No 9 (2024)
- Pages: 56-76
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/263160
- DOI: https://doi.org/10.4213/sm10038
- ID: 263160
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Abstract
Доказано, что любая группа $G$ является группой $\mathcal E(X)$ гомотопических эквивалентностей $\mathrm{CW}$-комплекса $X$ конечной размерности. Таким образом, получено обобщение известной теоремы К. Костои и А. Вируэля [9], согласно которой любая конечная группа является группой $\mathcal E(X)$ гомотопических эквивалентностей рационального эллиптического пространства $X$.Библиография: 12 названий.
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