The Induction Process

José Manuel Aroca, Heisuke Hironaka and José Luis Vicente
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José Manuel Aroca: Universidad de Valladolid, Catedrático de Geometría y Topología
Heisuke Hironaka: Harvard University, Professor Emeritus
José Luis Vicente: Universidad de Sevilla, Catedrático de Álgebra

Chapter Chapter 5 in Complex Analytic Desingularization, 2018, pp 235-272 from Springer

Abstract: Abstract A ℂ $$\mathbb {C}$$ -situation G is said to be countable at infinity ℂ $$\mathbb {C}$$ -situation countable at infinity if there exists a sequence {Fk}k≥1 of compact subsets of G0 (see Definition 4.4.6 in Chap. 4 ) such that, for every point (g, x) of G, there is a point (g′, x′) of G and an integer k ≥ 1 such that (g, x) ∼ (g′, x′) and (g′, x′) ∈ Fk, that is, x′∈ Fk(g′). A garden G = ( G , J , Δ ) $$\mathbb {G} = (G,J,\varDelta )$$ is countable at infinity garden countable at infinity if G is also.

Date: 2018
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DOI: 10.1007/978-4-431-49822-3_5

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