Description
The classification of smooth structures on a manifold $X$ is a classical problem in topology. Surgery theory provides a framework for solving this problem by calculating the structure set of $X$. One of the steps in this process involves finding normal invariants, which can be represented by a homotopy class of maps from $X$ to the space $\text{G}/\text{O}$. A similar notion exists in the $\text{TOP}$ category, in which the space $\text{G}/\text{TOP}$ plays a central role. In this work, we study the homotopy types of both $\text{G}/\text{TOP}$ and $\text{G}/\text{O}$, with the aim of applying these results to the study of lens spaces.
| Pracovisko fakulty (katedra)/ Department of Faculty | Katedra algebry a geometrie |
|---|---|
| Tlač postru/ Print poster | Budem požadovať tlač /I hereby required to print the poster in faculty |
