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What (who) is homotopy sphere - definition
Homotopy sphere
In algebraic topology, a branch of mathematics, a homotopy sphere is an n-manifold that is homotopy equivalent to the n-sphere. It thus has the same homotopy groups and the same homology groups as the n-sphere, and so every homotopy sphere is necessarily a homology sphere.
SPHERES
![Roundest objects in the world created].](https://commons.wikimedia.org/wiki/Special:FilePath/Einstein gyro gravity probe b.jpg?width=200 "Roundest objects in the world created].")
![Deck of playing cards illustrating engineering instruments, England, 1702. [[King of spades]]: Spheres](https://commons.wikimedia.org/wiki/Special:FilePath/King of spades- spheres.jpg?width=200 "Deck of playing cards illustrating engineering instruments, England, 1702. [[King of spades]]: Spheres")
ROUND, ROTATIONALLY SYMMETRIC SHAPE OF THE 2D SURFACE OF A BALL IN 3D SPACE
Spherical; 2-sphere; Topological sphere; Hemispherical; Two-sphere; Globose; Spheres; Volume of a sphere; Sphere (geometry); Volume Of A Sphere; Two-dimensional sphere; S²; X^2+y^2+z^2=r^2; Surface area of a sphere; Maschler space; Orb (shape); Spherical surface; Spherical volume; Surface area of the sphere; ⁴⁄₃πr³; Volume of sphere; 1-sphere; Spherical region; Spherical curve; Curve on a sphere; Perfect sphere; Spherule
The Synchronized Position Hold Engage and Reorient Experimental Satellite (SPHERES) are a series of miniaturized satellites developed by MIT's Space Systems Laboratory for NASA and US Military, to be used as a low-risk, extensible test bed for the development of metrology, formation flight, rendezvous, docking and autonomy algorithms that are critical for future space missions that use distributed spacecraft architecture, such as Terrestrial Planet Finder and Orbital Express.
hemispherical
ROUND, ROTATIONALLY SYMMETRIC SHAPE OF THE 2D SURFACE OF A BALL IN 3D SPACE
Spherical; 2-sphere; Topological sphere; Hemispherical; Two-sphere; Globose; Spheres; Volume of a sphere; Sphere (geometry); Volume Of A Sphere; Two-dimensional sphere; S²; X^2+y^2+z^2=r^2; Surface area of a sphere; Maschler space; Orb (shape); Spherical surface; Spherical volume; Surface area of the sphere; ⁴⁄₃πr³; Volume of sphere; 1-sphere; Spherical region; Spherical curve; Curve on a sphere; Perfect sphere; Spherule
a.
See hemispheric
