| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Heuts, Gijs | |
| dc.contributor.author | Moor, Fabio de | |
| dc.date.accessioned | 2025-08-21T01:03:39Z | |
| dc.date.available | 2025-08-21T01:03:39Z | |
| dc.date.issued | 2025 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/49944 | |
| dc.description.abstract | Manifold calculus provides a way to approximate functors from the open sets
of a manifold to spaces by a tower of polynomial functors. In this thesis, we
explain how this works in detail for the functor of embeddings, a case which is
already well-understood. Following that, we make steps towards adapting the
approach used there to the functor of totally nonparallel immersions. These
are immersions from a manifold into Euclidean space such that the images of
the tangent spaces at any two points have no parallel lines. We find that the
first stage of the tower in this case is given by formal semifree immersions,
and we provide conjectures for the second stage in analogy to the embeddings
case. | |
| dc.description.sponsorship | Utrecht University | |
| dc.language.iso | EN | |
| dc.subject | Manifold calculus provides a way to approximate functors from the open sets
of a manifold to spaces by a tower of polynomial functors. In this thesis, we
explain how this works in detail for the functor of embeddings, a case which is
already well-understood. Following that, we make steps towards adapting the
approach used there to the functor of totally nonparallel immersions. | |
| dc.title | Applying Manifold Calculus To Totally
Nonparallel Immersions | |
| dc.type.content | Master Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Manifold calculus; Differential topology; Homotopy theory | |
| dc.subject.courseuu | Mathematical Sciences | |
| dc.thesis.id | 51934 | |
