Visio labels
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A Word file of text labels used for Visio figures in Phil's Wedge World tensor wedge document, dated 1.11.15 and also holding template notes. The labels refer to a manifold M and a region V in R^n, maps phi and phi*, t-space R^m, and the pullback of forms such as beta_t = phi*(alpha_x) with wedge products x_λ1 ^ x_λ2. The text is fragmentary, so the exact figures are not clear.
AI-written summary; may contain errors. This description is approximate.
Extracted text (machine-read; may contain errors)
This is the Title PhL 1.11.15
Note that page numbering is turned on in this template and view is 125%,
located in phil/roaming/microsoft/templates size about 219K.
t-space = Rm φ* x1 x2 λx λt
thin red curve is Manifold M
fat red curve is region V M Rn
αx
U R1
U Rm βt = φ*(xλ) x = φ(t) βt = φ*(αx)
βt = φ*(xλi ^ xλi)
βt = φ*(xλ1 ^ xλ2)
xλi ^ xλi
tλ1 ^ tλ2
Outlined patch is region V M Rn
Thin curve is Manifold M
Thin curve happens to lie on the surface of a torus
t1 t2
Outlined patch is region V M Rm
U Rn
fat red curve is region V M Rm
αx ϵ Λk(V M Rm)
xλ1 ^ xλ2