Dgdrxrt

Are the number of citations and number of published articles the most important criteria for a tenure promotion?

Was any UN Security Council vote triple-vetoed?

Can an x86 CPU running in real mode be considered to be basically an 8086 CPU?

"You are your self first supporter", a more proper way to say it

Roll the carpet

What does it mean to describe someone as a butt steak?

LWC SFDX source push error TypeError: LWC1009: decl.moveTo is not a function

infared filters v nd

Do infinite dimensional systems make sense?

How old can references or sources in a thesis be?

How is the claim "I am in New York only if I am in America" the same as "If I am in New York, then I am in America?

When a company launches a new product do they "come out" with a new product or do they "come up" with a new product?

Malformed Address '10.10.21.08/24', must be X.X.X.X/NN or

I'm flying to France today and my passport expires in less than 2 months

Why can't I see bouncing of a switch on an oscilloscope?

What does the "remote control" for a QF-4 look like?

Can you really stack all of this on an Opportunity Attack?

Why doesn't Newton's third law mean a person bounces back to where they started when they hit the ground?

What's that red-plus icon near a text?

Why is Minecraft giving an OpenGL error?

NMaximize is not converging to a solution

Approximately how much travel time was saved by the opening of the Suez Canal in 1869?

How to format long polynomial?

What's the output of a record needle playing an out-of-speed record

Homeomorphism between 2 spaces

Homeomorphism between two spacesHomeomorphism between positive rationals and non-negative rationalsHomeomorphism classes of upper-half spaces without 'boundary' points.Homeomorphism between two intervals in $mathbb R$Homeomorphism VS Curvaturehomeomorphism between union of intervals and realsConstruct a homeomorphis between two spacesHomeomorphism of two figuresHomeomorphism between homeomorphic spacesOpen unit disc is homeomorphic to sphere minus a point

-2

0

$begingroup$

Is the plane minus four points on the $x$-axis homeomorphic to the plane minus four points in an arbitrary configuration? In general, how can I show that it doesn't matter which finite points removed from plane then the two plane be homeomorphic and it's still true.

general-topology metric-spaces

share|cite|improve this question

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

$endgroup$

• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  Please write your problem clearly with proper information and links.
  $endgroup$
  – Sujit Bhattacharyya
  Mar 29 at 11:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes it is. This holds for any finite number of points. It doesn't matter which points in the plane you remove.
  $endgroup$
  – Pink Panther
  Mar 29 at 11:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  how can I show it doesn't matter which points in the plane remove?I think that's true but I can't show it Explicitly.
  $endgroup$
  – m.amin
  Mar 29 at 11:32
  

  
  
  
  

add a comment | 

-2

0

$begingroup$

Is the plane minus four points on the $x$-axis homeomorphic to the plane minus four points in an arbitrary configuration? In general, how can I show that it doesn't matter which finite points removed from plane then the two plane be homeomorphic and it's still true.

general-topology metric-spaces

share|cite|improve this question

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

$endgroup$

• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  Please write your problem clearly with proper information and links.
  $endgroup$
  – Sujit Bhattacharyya
  Mar 29 at 11:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes it is. This holds for any finite number of points. It doesn't matter which points in the plane you remove.
  $endgroup$
  – Pink Panther
  Mar 29 at 11:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  how can I show it doesn't matter which points in the plane remove?I think that's true but I can't show it Explicitly.
  $endgroup$
  – m.amin
  Mar 29 at 11:32
  

  
  
  
  

add a comment | 

$begingroup$

Is the plane minus four points on the $x$-axis homeomorphic to the plane minus four points in an arbitrary configuration? In general, how can I show that it doesn't matter which finite points removed from plane then the two plane be homeomorphic and it's still true.

general-topology metric-spaces

share|cite|improve this question

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

$endgroup$

share|cite|improve this question

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

share|cite|improve this question

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

edited Mar 29 at 22:47

Javi

3,1432932

edited Mar 29 at 22:47

Javi

3,1432932

asked Mar 29 at 11:15

m.aminm.amin

61

asked Mar 29 at 11:15

m.aminm.amin

61