How would one prove that algebraic topology can never have a non self-

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Discussion Overview

The discussion centers around the question of proving that algebraic topology can never have a non self-contradictory set of abelian groups. Participants explore the clarity and context of the original question, as well as the implications of the terms used.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant expresses confusion over the term "self-contradictory set of abelian groups" and questions its validity.
  • Another participant suggests that the original question lacks sufficient context and clarity, indicating that it appears nonsensical without further explanation.
  • A participant reflects on their limited understanding of topology and expresses doubt about the coherence of the original claim, attributing their confusion to their age and experience level.
  • There is a suggestion that the question may not be a fruitful topic for serious mathematical discussion, referencing a popular TV show as a source of misinformation.

Areas of Agreement / Disagreement

Participants generally agree that the original question lacks clarity and context, leading to confusion. There is no consensus on the validity of the claim regarding algebraic topology and abelian groups, as the discussion remains unresolved.

Contextual Notes

The discussion highlights limitations in the original question's formulation and the participants' varying levels of understanding of algebraic topology and group theory.

Amsingh123
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contradictory set of abelian groups.
 
Last edited:
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Any ideas about what? You have to provide some context here!
 
What other context are you looking for?
 
Well your thread title only says "How would one prove that algebraic topology can never have a non self-" and then stops, while the body of your posts makes some mumblings about a TV show and proof, but never mentions what result you have in mind. So pretty much ANY indication about what question you're really asking would be nice.
 
S*** sorry it must've gotten cut off. The title was supposed to read, "How would one prove that algebraic topology can never have a non self-contradictory set of abelian groups."
 
Alright this is a step in the right direction. What do you mean self-contradictory set of abelian groups though?
 
Well that's the thing. I heard it and I thought that I was complete nonsense because abelian groups are just groups in which the operations are commutative. I don't have a great understanding of topology since I'm only 15, so I thought that my conclusion that it was just bs was due to my lack of understanding. But, I thought that maybe one could make sense out of it on this forum if anywhere.
 
Well without further clarification, the question is nonsense as it stands. So hopefully that gives you some peace of mind.
 

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