Solid Torus
22,99 €
inkl. MwSt.

Versandfertig in 6-10 Tagen
  • Broschiertes Buch

High Quality Content by WIKIPEDIA articles! Homeomorphisms are the isomorphisms in the category of topological spaces that is, they are the mappings which preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. Roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. Thus, a square and a circle are homeomorphic to each other, but a sphere and a doughnut are not. An…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
High Quality Content by WIKIPEDIA articles! Homeomorphisms are the isomorphisms in the category of topological spaces that is, they are the mappings which preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. Roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. Thus, a square and a circle are homeomorphic to each other, but a sphere and a doughnut are not. An often-repeated joke is that topologists can't tell the coffee cup from which they are drinking from the doughnut they are eating, since a sufficiently pliable doughnut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while shrinking the hole into a handle.