homeomorphisms background

homeomorphisms

/ˌhoʊmiəˈmɔrfɪzəmz/

Illustration homeomorphisms - Image 1

noun

Homeomorfismos

A continuous bijection from one topological space to another, with continuous inverse.

Examples :

"Because a coffee mug can be smoothly deformed into a donut shape (without tearing or gluing), mathematicians say the mug and the donut are related by homeomorphisms, meaning they are topologically the same. "

Debido a que una taza de café se puede deformar suavemente en forma de rosquilla (sin rasgar ni pegar), los matemáticos dicen que la taza y la rosquilla están relacionadas por homeomorfismos, lo que significa que son topológicamente iguales.

math space theory

Illustration homeomorphisms - Image 1

noun

Una similitud en la estructura cristalina de compuestos no relacionados

A similarity in the crystal structure of unrelated compounds

Examples :

"Chemists discovered homeomorphisms between table salt crystals and certain ceramic structures, despite the compounds being formed from completely different elements. "

Los químicos descubrieron homeomorfismos entre los cristales de sal de mesa y ciertas estructuras cerámicas, a pesar de que los compuestos están formados por elementos completamente diferentes.

compound chemistry structure material science