New posts in quotient-spaces

Showing that $A/J \cong \mathbb C.$

ideals operator-algebras c-star-algebras quotient-spaces maximal-and-prime-ideals

When does convergence in quotient space $X / {\sim}$ induce convergence in $X$

sequences-and-series general-topology quotient-spaces

Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?

abstract-algebra ring-theory proof-verification quotient-spaces

Obtaining the Möbius strip as a quotient of $S^1\times[-1,1]$

general-topology algebraic-topology quotient-spaces

Embedd SU(n) into an enlarged twisted Spin(2n) in terms of Lie groups precisely

representation-theory manifolds lie-groups quotient-spaces homogeneous-spaces

Why is $D^n/\sim$ homeomorphic to $\mathbb{RP}^n$?

general-topology quotient-spaces

Examples of a quotient map not closed and quotient space not Hausdorff

general-topology examples-counterexamples quotient-spaces separation-axioms

Quotient space projection

linear-algebra quotient-spaces vector-space-isomorphism

Lifting a convergent net through a quotient map

general-topology examples-counterexamples quotient-spaces nets

The topology on $X/{\sim}\times X/{\sim}$ is not induced by $\pi\times\pi$.

general-topology examples-counterexamples quotient-spaces

Construction of $\mathbb{CP}^2$ from $S^2\times S^2$

algebraic-topology quotient-spaces projective-space

What is meant by gluing two metric spaces together?

general-topology metric-spaces quotient-spaces

Quotient space of the reals by the rationals

general-topology quotient-spaces

Quotient space of closed unit ball and the unit 2-sphere $S^2$

general-topology quotient-spaces

When is the quotient of simplicial complexes a simplicial complex?

algebraic-topology homology-cohomology quotient-spaces simplicial-complex

Proving ${\mathbb{P}}^n$ is Hausdorff

general-topology differential-geometry quotient-spaces projective-space

Can the fundamental group and homology of the line with two origins be computed as a direct limit?

general-topology algebraic-topology quotient-spaces fundamental-groups limits-colimits

Real Projective Plane is Same as Identifying Antipodal Boundary Points of The $2$-Disc.

general-topology projective-space quotient-spaces

If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$

abstract-algebra ideals equivalence-relations quotient-spaces

Isometric isomorphism between $\mathscr{C}_0(X)/\mathscr{M}$ and $\mathscr{C}_0(F)$

general-topology functional-analysis quotient-spaces isometry