Why Is the Term Separable Used in Topology?

  • Context: Graduate 
  • Thread starter Thread starter hypermonkey2
  • Start date Start date
  • Tags Tags
    Origin Term
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
hypermonkey2
Messages
101
Reaction score
0
Origin of the term "seperable"

I was just curious as to why out of all properties of metric spaces (ie compactness, closure, etc), i don't know how the term seperable makes sense intuitively... is there an origin to this term?
Just curious.
cheers
 

Discussion

Physics news on Phys.org


This is one of the mysteries of topology!
 

Similar threads

High School Why Is the Trick for Open Sets in Quotient Topology Valid?

  • Korybut
  • · Replies 8 ·
  • Topology and Analysis
Replies
8

Undergrad General topology: Countability and separation axioms

  • beep300
  • · Replies 6 ·
  • Topology and Analysis
Replies
6

Why is this polynomial separable?

  • mathmari
  • · Replies 10 ·
  • Linear and Abstract Algebra
Replies
10

Graduate Why are separable spaces called "separable"?

  • pellman
  • · Replies 10 ·
  • Topology and Analysis
Replies
10

Graduate Why Is Topology Essential for Understanding Manifolds in GR?

  • Frank Castle
  • · Replies 25 ·
  • Topology and Analysis
Replies
25

Graduate Why topology on a set is defined the way it is?

  • Ahmed Abdullah
  • · Replies 3 ·
  • Topology and Analysis
Replies
3

Undergrad Why does topology matter in determining fermions and bosons?

  • Jezza
  • · Replies 4 ·
  • Quantum Physics
Replies
4

Graduate Question about a flat torus topology

  • Jimster41
  • · Replies 21 ·
  • Topology and Analysis
Replies
21

Graduate Separable space definition and applications

  • Somefantastik
  • · Replies 2 ·
  • Topology and Analysis
Replies
2

Graduate Why is the term space commonly used in geometry but not in algebra?

  • ShayanJ
  • · Replies 2 ·
  • General Math
Replies
2