Talk:Microbundles (Ex)

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Revision as of 18:20, 29 May 2012 by Diarmuid Crowley (Talk | contribs)
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Let us begin with the definition of microbundle.

Definition 0.1.

An n-dimensional microbundle is a quadruple (E,B,i,j) such that there is a sequence
\displaystyle B\xrightarrow{i} E\xrightarrow{j} B
and the following conditions hold.
  • j\circ i=\id_B
  • for all x\in B there exist open neigbourhood U\subset B and an open neighbourhood V\subset E of i(b) and a homeomorphism
    \displaystyle h\colon V\to U\times \mathbb{R}^n.




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