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Visualizing Homeomorphism and Homotopy Equivalence
Visualizing Homeomorphism and Homotopy Equivalence
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2 years ago

Homeomorphism

Créé 2 years ago · 0 commentaire· 0 j'aime

Mysterious XL v46.9x

#homomorphisms-
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Résumé de création par Vincent

Visualizing Homeomorphism and Homotopy Equivalence

This image illustrates topological equivalence through deformation. It visualizes how a disk can be deformed to a point, and the homotopy equivalence between a Möbius strip and a circle.

Créé par Roger Anton Ledergerber le May 17, 2024 en utilisant le modèle générateur d'images AI Mysterious XL v4.


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Paramètres de Création

Prompts textuels
A homeomorphism is a special case of a homotopy equivalence, if X and Y are homeomorphic then they are homotopy-equivalent, A solid disk is homotopy-equivalent to a single point, since you can deform the disk along radial lines continuously to a single point, they are not homeomorphic, since there is ...
Weight: 1
Modèle
Mysterious XL v4
CKPT

Mysterious XL v4

Résolution initiale

Medium

Rapport d'aspect

3:4

Durée d'exécution

Short

Poids de l'invite globale

50%

Poids de l'affineur

50%

Méthode d'échantillonnage

K_DPMPP_2M


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