general topology : Math Help

Prove that totally bounded metric space is separable

general-topology metric-spaces
Updated October 19, 2018 07:20 AM

CW-pairs are good pairs

general-topology algebraic-topology
Updated October 19, 2018 06:20 AM

If A is a retract of X, how to prove X × I × I has X × I × {0} ∪ (X × ∂I ∪ A × I) × I as retract?

algebraic-topology homotopy-theory
Updated October 19, 2018 05:20 AM

Limit of Convergent Sequences in a Compact Graph when the Domain is Compact

general-topology metric-spaces
Updated October 19, 2018 03:20 AM

> Let $A=\{(x,y)\in \mathbb R^2|x^2+y^2\ge 1\}\cup\{(0,0)\}$, and let $d$ be a usual metric on $A$. Find the closure of $B_d((0,0),1)$

general-topology proof-verification
Updated October 19, 2018 03:20 AM

Forming a chart of a smooth manifold

differential-topology smooth-manifolds
Updated October 19, 2018 03:20 AM

Show that if $C_1$ and $C_2$ are two distinct components of a space X, then $C_1\cap C_2$ = $\emptyset$

general-topology
Updated October 19, 2018 03:20 AM

Constructing a bais continuously out of a collection of subspaces

linear-algebra general-topology path-connected
Updated October 19, 2018 02:20 AM

What is the automorphism of this covering space?

algebraic-topology covering-spaces
Updated October 19, 2018 02:20 AM

Is the automorphism group $D_4$ or $\mathbb{Z}_4$ (or something else!)?

algebraic-topology covering-spaces
Updated October 18, 2018 23:20 PM

Connected subspaces of connected subspaces are connected subsubspaces?

abstract-algebra general-topology compactness connectedness
Updated October 18, 2018 22:20 PM

Borel sets in $\Bbb R (0,1]$ element of $B(\Bbb R)$

probability general-topology
Updated October 18, 2018 22:20 PM

Bursak-ulam theorem proof using brouwer degree

general-topology analysis roots geometric-topology
Updated October 18, 2018 21:20 PM

Is the action of a finite group always discontinuous?

general-topology topological-groups group-actions
Updated October 18, 2018 20:20 PM

Based on nowadays,what is more important to master topology or algebraic geometry?

general-topology algebraic-geometry
Updated October 18, 2018 18:20 PM

Existence of a singular $(n+1)$-chain in a convex subset of Euclidian space whose boundary is a $n$-cycle whose image is a single point

algebraic-topology
Updated October 18, 2018 15:20 PM

Why do all the Platonic Solids exist?

geometry proof-verification algebraic-topology covering-spaces platonic-solids
Updated October 18, 2018 15:20 PM

Please clarify proof that $\mathbb R_K$ is not path connected.

general-topology continuity proof-explanation compactness connectedness
Updated October 18, 2018 13:20 PM

Showing that constants belong to the $n$-boundaries for positive $n$’s in the case of convex subsets of Euclidean space

algebraic-topology homology-cohomology homological-algebra
Updated October 18, 2018 13:20 PM

Interior of cartesian product

general-topology
Updated October 18, 2018 12:20 PM

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