Difference between revisions of "User:Alec/Bitchin"

Revision as of 21:47, 14 February 2017 (view source) Alec (Talk | contribs) (Added some arrows) ← Older edit		Latest revision as of 22:23, 14 February 2017 (view source) Alec (Talk | contribs) (Fleshed out)
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		+	==Dispute==
		+	<div style="float:right;margin:0px;margin-left:0.2em">
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	}</mm></span></center>		}</mm></span></center>
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−	! Here it is	+	! Set up
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		+	</div>If {{M|f}} is say {{M|\partial_n:C_n(X)\rightarrow C_{n-1}(Y)}} in a [[chain complex]] (found in this case in [[singular homology theory]]) it is claimed that for any [[topological subspace]] of {{M|X}} that {{M|f}} induces a [[map]]:
		+	* {{M|f':\frac{C_n(X)}{C_n(A)}\rightarrow\frac{C_{n-1}(X)}{C_{n-1}(A)} }}
		+	Specifically it is claimed that:
		+	* {{M|\text{Ker}(\pi_1)\subseteq \text{Ker}(f)}}
		+	But I don't yet see how that helps. [[User:Alec|Alec]] ([[User talk:Alec|talk]]) 22:23, 14 February 2017 (UTC)

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Latest revision as of 22:23, 14 February 2017

Dispute

If [ilmath]f[/ilmath] is say [ilmath]\partial_n:C_n(X)\rightarrow C_{n-1}(Y)[/ilmath] in a chain complex (found in this case in singular homology theory) it is claimed that for any topological subspace of [ilmath]X[/ilmath] that [ilmath]f[/ilmath] induces a map:

• [ilmath]f':\frac{C_n(X)}{C_n(A)}\rightarrow\frac{C_{n-1}(X)}{C_{n-1}(A)} [/ilmath]

Specifically it is claimed that:

• [ilmath]\text{Ker}(\pi_1)\subseteq \text{Ker}(f)[/ilmath]

But I don't yet see how that helps. Alec (talk) 22:23, 14 February 2017 (UTC)