Quotient "spaces":

While quotients, e.g. of group actions, in geometry often are degenerate, several generalized notions of quotient or of space help here: Sheaf quotients, Orbifolds, Algebraic Spaces, Stack quotients, Homotopy quotients, Non-commutative quotients, GIT quotients, ...

Quotient "spaces":

While quotients, e.g. of group actions, in geometry often are degenerate, several generalized notions of quotient space help here: Sheaf quotients, Orbifolds, Algebraic Spaces, Stack quotients, Homotopy quotients, Non-commutative quotients, GIT quotients, ...

(similarly with moduli spaces)

Quotient "spaces":

While quotients, e.g. of group actions, in geometry often are degenerate, several generalized notions of quotient or of space help here: Sheaf quotients, Orbifolds, Algebraic Spaces, Stack quotients, Homotopy quotients, Non-commutative quotients, ...

Quotient "spaces":

While quotients, e.g. of group actions, in geometry often are degenerate, several generalized notions of quotient or of space help here: Sheaf quotients, Orbifolds, Algebraic Spaces, Stack quotients, Homotopy quotients, Non-commutative quotients, GIT quotients, ...