On some topological realizations of groups and homomorphisms
نویسندگان
چکیده
Given a homomorphism of groups f : G ? H f:G\rightarrow H , we construct topological space alttext="upper X Subscript f"> X encoding="application/x-tex">X_f such that its group homeomorphisms A u t left-parenthesis f Baseline right-parenthesis"> A u t stretchy="false">( stretchy="false">) encoding="application/x-tex">Aut(X_f) is isomorphic to G"> encoding="application/x-tex">G homotopy classes self-homotopy equivalences alttext="script E E encoding="application/x-tex">\mathcal {E}(X_f) encoding="application/x-tex">H and the natural map between alttext="f"> encoding="application/x-tex">f . In addition, consider realization problems involving homology groups, automorphisms.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2022
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8719