Relative Gottlieb groups of mapping spaces and their rational cohomology
| dc.contributor.author | Abdelhadi Zaim | |
| dc.date.accessioned | 2023-05-10T13:23:08Z | |
| dc.date.available | 2023-05-10T13:23:08Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Let f:X →Y be a map of simply connected CW-complexes of finite type. Put maxπ★(Y)⊗Q = max{ i | πi(Y)⊗Q≠0 }. In this paper we compute the relative Gottlieb groups of f when X is an F0-space and Y is a product of odd spheres. Also, under reasonable hypothesis, we determine these groups when X is a product of odd spheres and Y is an F0-space. As a consequence, we show that the rationalized G-sequence associated to f splits into a short exact sequence. Finally, we prove that the rational cohomology of map(X,Y;f) is infinite dimensional whenever maxπ★(Y)⊗Q is even. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/25000 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Relative Gottlieb groups of mapping spaces and their rational cohomology |