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Higher topos theory [[electronic resource] /] / Jacob Lurie
Higher topos theory [[electronic resource] /] / Jacob Lurie
Autore Lurie Jacob <1977->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (944 p.)
Disciplina 512/.62
Collana Annals of mathematics studies
Soggetto topico Toposes
Categories (Mathematics)
Soggetto non controllato Adjoint functors
Associative property
Base change map
Base change
CW complex
Canonical map
Cartesian product
Category of sets
Category theory
Coequalizer
Cofinality
Coherence theorem
Cohomology
Cokernel
Commutative property
Continuous function (set theory)
Contractible space
Coproduct
Corollary
Derived category
Diagonal functor
Diagram (category theory)
Dimension theory (algebra)
Dimension theory
Dimension
Enriched category
Epimorphism
Equivalence class
Equivalence relation
Existence theorem
Existential quantification
Factorization system
Functor category
Functor
Fundamental group
Grothendieck topology
Grothendieck universe
Group homomorphism
Groupoid
Heyting algebra
Higher Topos Theory
Higher category theory
Homotopy category
Homotopy colimit
Homotopy group
Homotopy
I0
Inclusion map
Inductive dimension
Initial and terminal objects
Inverse limit
Isomorphism class
Kan extension
Limit (category theory)
Localization of a category
Maximal element
Metric space
Model category
Monoidal category
Monoidal functor
Monomorphism
Monotonic function
Morphism
Natural transformation
Nisnevich topology
Noetherian topological space
Noetherian
O-minimal theory
Open set
Power series
Presheaf (category theory)
Prime number
Pullback (category theory)
Pushout (category theory)
Quillen adjunction
Quotient by an equivalence relation
Regular cardinal
Retract
Right inverse
Sheaf (mathematics)
Sheaf cohomology
Simplicial category
Simplicial set
Special case
Subcategory
Subset
Surjective function
Tensor product
Theorem
Topological space
Topology
Topos
Total order
Transitive relation
Universal property
Upper and lower bounds
Weak equivalence (homotopy theory)
Yoneda lemma
Zariski topology
Zorn's lemma
ISBN 1-282-64495-5
9786612644955
1-4008-3055-9
Classificazione SI 830
SK 320
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation
Record Nr. UNINA-9910784939903321
Lurie Jacob <1977->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
Autore Rapoport Michael
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (347 pages)
Disciplina 512.2
Collana Annals of Mathematics Studies
Soggetto topico p-divisible groups
Moduli theory
p-adic groups
Soggetto non controllato Abelian variety
Addition
Alexander Grothendieck
Algebraic closure
Algebraic number field
Algebraic space
Algebraically closed field
Artinian ring
Automorphism
Base change
Basis (linear algebra)
Big O notation
Bilinear form
Canonical map
Cohomology
Cokernel
Commutative algebra
Commutative ring
Complex multiplication
Conjecture
Covering space
Degenerate bilinear form
Diagram (category theory)
Dimension (vector space)
Dimension
Duality (mathematics)
Elementary function
Epimorphism
Equation
Existential quantification
Fiber bundle
Field of fractions
Finite field
Formal scheme
Functor
Galois group
General linear group
Geometric invariant theory
Hensel's lemma
Homomorphism
Initial and terminal objects
Inner automorphism
Integral domain
Irreducible component
Isogeny
Isomorphism class
Linear algebra
Linear algebraic group
Local ring
Local system
Mathematical induction
Maximal ideal
Maximal torus
Module (mathematics)
Moduli space
Monomorphism
Morita equivalence
Morphism
Multiplicative group
Noetherian ring
Open set
Orthogonal basis
Orthogonal complement
Orthonormal basis
P-adic number
Parity (mathematics)
Period mapping
Prime element
Prime number
Projective line
Projective space
Quaternion algebra
Reductive group
Residue field
Rigid analytic space
Semisimple algebra
Sheaf (mathematics)
Shimura variety
Special case
Subalgebra
Subgroup
Subset
Summation
Supersingular elliptic curve
Support (mathematics)
Surjective function
Symmetric bilinear form
Symmetric space
Tate module
Tensor algebra
Tensor product
Theorem
Topological ring
Topology
Torsor (algebraic geometry)
Uniformization theorem
Uniformization
Unitary group
Weil group
Zariski topology
ISBN 1-4008-8260-5
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index
Record Nr. UNINA-9910154754603321
Rapoport Michael  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui