Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We consider a functor from the category of groups to itself, G → Z∞G, that we call right exact Z -completion of a group. It is connected with the pro-nilpotent completion G by the short exact sequence 1 → lim1 MnG → Z∞G → G → 1, where MnG is nth Baer invariant of G. We prove that Z00(µ1X) is an invariant of homological equivalence of a space X. Moreover, we prove an analogue of Stallings' theorem: If G → G0 is a 2-connected group homomorphism, then Z∞G ^ Z∞G'. We give examples of 3-manifolds X and Y such that n1X ^ 7r17 but Z1^1X
Язык оригинала | английский |
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Страницы (с-по) | 447-468 |
Число страниц | 22 |
Журнал | Algebraic and Geometric Topology |
Том | 21 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 2021 |
ID: 90651015