Erratum for “On the LS-category of homomorphisms of groups with torsion”

• Дата: 2024
• Автор: Kuanyshov, Nursultan
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: Lusternik-Schnirelmann category; cohomological dimension; group homomorphism; Primary 55M30; Secondary 55M25; 57R65; 57R67
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308
• Назва журналу: Algebra and Discrete Mathematics

Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between...