New posts in quotient-spaces

Looking For a Neat Proof of the Fact that the Grassmannian Manifold is Hausdorff

general-topology differential-geometry quotient-spaces separation-axioms grassmannian

Can the fundamental group detect all ways to not have a section?

algebraic-topology category-theory quotient-spaces fundamental-groups

When is a quotient by closed equivalence relation Hausdorff

general-topology quotient-spaces separation-axioms

Hitchin's definition of tangent space and tangent vectors

differential-geometry manifolds smooth-manifolds quotient-spaces tangent-spaces

Proof of the universal property of the quotient topology

general-topology quotient-spaces universal-property

How to prove $D^n/S^{n-1}\cong S^n$?

general-topology quotient-spaces

Is Whyburn's theorem on irreducible maps optimal?

general-topology metric-spaces quotient-spaces

The $n$-disk $D^n$ quotiented by its boundary $S^{n-1}$ gives $S^n$

general-topology algebraic-topology quotient-spaces

About direct sum of abelian groups and quotient

abstract-algebra group-theory abelian-groups quotient-spaces direct-sum

When is a space homeomorphic to a quotient space?

general-topology equivalence-relations quotient-spaces

Understanding / learning how to work with quotient spaces

general-topology quotient-spaces

Generalize exterior algebra: vectors are nilcube instead of nilsquare

abstract-algebra vector-spaces tensor-products quotient-spaces nilpotence

Is $\mathbb{R}/\mathord{\sim}$ a Hausdorff space if $\{(x,y)\!:x\sim y\}$ is a closed subset of $\mathbb{R}\times\mathbb{R}$?

general-topology quotient-spaces

Fundamental group of $\mathbb{R^\times}/\sim$

algebraic-topology quotient-spaces fundamental-groups

universal property in quotient topology

general-topology category-theory quotient-spaces universal-property

Example of quotient mapping that is not open

general-topology examples-counterexamples quotient-spaces open-map

Quotient Space of Hausdorff space

general-topology riemann-surfaces quotient-spaces separation-axioms

Why is $\mathbb{R}/{\sim}$ not first countable at $[0]$, where $x \sim y \Leftrightarrow x = y\text{ or }x,y \in \mathbb{Z}$?

general-topology quotient-spaces first-countable

How does the quotient $\mathbb{R}/\mathbb{Z}$ become the circle $S^1$?

general-topology quotient-spaces

Topological "Freshman's Dream"

general-topology examples-counterexamples quotient-spaces