Naslov
Immersions and Embeddings

Autori
Andrić, Maja

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, stručni

Izvornik
Abstracts - 12th Scientific-Professional Colloquium of CSGG / - , 2007, 6-6

Skup
12th Scientific-Professional Colloquium of CSGG

Mjesto i datum
Vukovar, Hrvatska, 16.09.2007. - 20.09.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
smooth manifold; immersion; embedding; embedded submanifold

Sažetak
All smooth manifolds can be smoothly embedded in Euclidean spaces. This justifies our habit of visualizing manifolds as subsets of R^n. To prove this, we use analysis in R^n to construct a 'local' solution, and then use partitions of unity to piece together the local solutions into a global one. First we show how any smooth map into R^n can be perturbed slightly to be an immersion, and then show how to perturb the immersion to be injective.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA