User:golopotw - Encyclopedia Information

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Differential geometry objects

Name	Set name	Signature
Function on M	$C(M)$	$M\to R$
Smooth map		$M\to N$
Tangent vectors at p	$T_{p}M$	$Cp(M)\to R$
Tangent bundle	$TM$	$Cp(M)\to R$
Derivation		$Cp(M)\to R$
Vector field		$M\to TM$
k-form	$\Omega ^{k}(M)$

name
Differential	$f:M\to N$	$df_{p}:T_{p}M\to T_{f(p)}N$

user:golopotw/draft_1

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