Geodesic
Multiple gaps
Antonio Avilés 1   ; Stevo Todorcevic 2
1 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain
2 CNRS FRE 3233 Université Paris Diderot Paris 7 UFR de mathématiques case 7012 site Chevaleret 75205 Paris, France and Department of Mathematics University of Toronto Toronto, Canada, M5S 3G3
Fundamenta Mathematicae, Tome 213 (2011) no. 1, pp. 15-42 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra $\mathcal{P}(\omega)/{\rm fin}$. We examine different types of such objects found in $\mathcal{P}(\omega)/{\rm fin}$ both from the combinatorial and the descriptive set-theoretic side.
DOI : 10.4064/fm213-1-2
Keywords: study higher dimensional version standard notion gap formed finite sequence ideals quotient algebra mathcal omega fin examine different types objects found mathcal omega fin combinatorial descriptive set theoretic side

Antonio Avilés  1   ; Stevo Todorcevic  2

1 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain
2 CNRS FRE 3233 Université Paris Diderot Paris 7 UFR de mathématiques case 7012 site Chevaleret 75205 Paris, France and Department of Mathematics University of Toronto Toronto, Canada, M5S 3G3 
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Antonio Avilés; Stevo Todorcevic. Multiple gaps. Fundamenta Mathematicae, Tome 213 (2011) no. 1, pp. 15-42. doi: 10.4064/fm213-1-2

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