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Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910797708403321 |
Hrushovski Ehud
|
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| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910822032303321 |
|
Hrushovski Ehud
|
||
| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
| Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
| Autore | Waldhausen Friedhelm <1938-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (193 p.) |
| Disciplina | 514/.22 |
| Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
| Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
| Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
| Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
| ISBN |
1-4008-4652-8
1-299-05144-8 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
| Record Nr. | UNINA-9910779468903321 |
|
Waldhausen Friedhelm <1938->
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spaces of PL manifolds and categories of simple maps / / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
| Spaces of PL manifolds and categories of simple maps / / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
| Autore | Waldhausen Friedhelm <1938-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (193 p.) |
| Disciplina | 514/.22 |
| Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
| Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
| Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
| Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
| ISBN |
1-4008-4652-8
1-299-05144-8 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
| Record Nr. | UNINA-9910813541203321 |
|
Waldhausen Friedhelm <1938->
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||