/sci/ - Science & Math » Thread #14365416

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Anonymous Tue 05 Apr 01:59:42 2022 No.14365416 View Reply Original Report

Quoted By: >>14365447 >>14365557

R3 and R2 can't be isomorphic but would it be accurate to say the subset of the listed elements in R3 and R2 are isomorphic to one another?

Anonymous

Anonymous Tue 05 Apr 2022 02:00:38 No.14365420 Report

Quoted By:

*subset in R3 and R2 containing the listed elements being mapped over

Anonymous

Anonymous Tue 05 Apr 2022 02:10:55 No.14365447 Report

Quoted By:

>>14365416
what do you mean by "listed"?

Anonymous

Anonymous Tue 05 Apr 2022 02:25:25 No.14365471 Report

Quoted By: >>14365474 >>14365557

if it has dimension 2, then it is isomorphic to R2. planes in R3 that contain the origin are linear subspaces of R3 that are isomorphic to R2

Anonymous

Anonymous Tue 05 Apr 2022 02:26:32 No.14365474 Report

Quoted By:

>>14365471
Hmm ok. Thanks.

Anonymous

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Anonymous Tue 05 Apr 2022 02:29:41 No.14365484 Report

Quoted By:

stone

Anonymous

Anonymous Tue 05 Apr 2022 03:13:45 No.14365557 Report

Quoted By:

>>14365416
>>14365471
This, there is also a set of 2x2 matrices that are isomorphic to the complex numbers, despite general 2x2 matrices not living in a space isomorphic to the complex plane.

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