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Jun11-05, 04:56 PM
A quick question about Bachman's A Geometric Approach to Differential Forms (http://pzacad.pitzer.edu/~dbachman/forms.pdf). I've read:
1. T_{p}\mathbb{R}^n to mean "the tangent space of some path/surface in \mathbb{R}^n" and,
2. T_{p}\mathbb{R}^n \times \mathbb{R}^m to mean "some (n-1)*m dimensional space of real numbers."
I haven't run into any problems using this definition but I think it would make the text easier to read if I actually understood what was going on (especially in the second example.
Rev Prez
1. T_{p}\mathbb{R}^n to mean "the tangent space of some path/surface in \mathbb{R}^n" and,
2. T_{p}\mathbb{R}^n \times \mathbb{R}^m to mean "some (n-1)*m dimensional space of real numbers."
I haven't run into any problems using this definition but I think it would make the text easier to read if I actually understood what was going on (especially in the second example.
Rev Prez