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Manuscript IX-A-ST@1 · IX-A-ST.tex · definition · 6e99d1b2

Definition: Admission topology

The boundary-sensitive topology · lines 798–813

IX-A-ST@1#def:topology, IX-A-ST@1#eq:graph

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The topology $τ_{Σ}$ on $P_{Σ}$ is the initial locally convex topology for the coefficient inclusion into $T_{coeff}$ and all maps

b_{Ψ; η} : P_{Σ} ⟶ C^{\infty} (Σ; T^{*} U ∣_{Σ}) .

Equivalently it is the topology of the graph embedding

F ⟼ ((u_{n} (F))_{n \geq 0}, (b_{Ψ; η} (F))_{Ψ, η}) .

Displayed formulas in this passage

unlabeled · line 802
$b_{Ψ; η} : P_{Σ} ⟶ C^{\infty} (Σ; T^{*} U ∣_{Σ}) .$
IX-A-ST@1#eq:graph · line 807
$F ⟼ ((u_{n} (F))_{n \geq 0}, (b_{Ψ; η} (F))_{Ψ, η}) .$

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