Statements (67)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:concept
|
| gptkbp:bfsLayer |
6
|
| gptkbp:bfsParent |
gptkb:Higher_Dimensional_Categories
|
| gptkbp:applies_to |
Algebraic Topology
|
| gptkbp:can_lead_to |
New Insights in Algebra
|
| gptkbp:defines |
Homotopy Limits
|
| gptkbp:developed_by |
gptkb:Jacob_Lurie
|
| gptkbp:examines |
Higher Dimensional Algebra
|
| gptkbp:fins |
Homotopy Theory
|
| gptkbp:focuses_on |
Research Initiatives
Current Research Trends |
| gptkbp:has_programs |
gptkb:Topos_Theory
|
| gptkbp:has_transformation |
Homotopical Algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Infinity-Categories
|
| gptkbp:includes |
(∞,1)-Categories
|
| gptkbp:is_a_framework_for |
gptkb:Derived_Algebraic_Geometry
|
| gptkbp:is_a_tool_for |
Mathematical Proofs
|
| gptkbp:is_associated_with |
Functoriality
Functorial Semantics Higher Dimensional Structures |
| gptkbp:is_characterized_by |
Weak Equivalences
Weak Higher Categories |
| gptkbp:is_connected_to |
Topological Spaces
Model Categories |
| gptkbp:is_explored_in |
gptkb:Higher_Dimensional_Categories
Mathematical Logic Abstract Algebra Abstract Theories |
| gptkbp:is_fundamental_to |
gptkb:Homotopy_Type_Theory
Mathematical Foundations Categorical Topology |
| gptkbp:is_influenced_by |
gptkb:Topos_Theory
|
| gptkbp:is_linked_to |
Algebraic Structures
Infinity-Groupoids Infinity-Categorical Structures |
| gptkbp:is_noted_for |
Complexity
Innovative Approaches |
| gptkbp:is_often_used_in |
Mathematical Applications
Mathematical Theories |
| gptkbp:is_part_of |
Modern Algebra
Higher Dimensional Category Theory |
| gptkbp:is_recognized_by |
Mathematical Research
Advanced Mathematics |
| gptkbp:is_reflected_in |
Mathematical Models
Infinity-Topoi |
| gptkbp:is_related_to |
Simplicial Sets
|
| gptkbp:is_represented_in |
(∞,n)-Categories
|
| gptkbp:is_standardized_by |
Categories
|
| gptkbp:is_studied_in |
gptkb:product
Mathematicians Theoretical Mathematics |
| gptkbp:is_used_to |
Define Higher Homotopy Types
|
| gptkbp:is_utilized_in |
gptkb:military_officer
Computational Mathematics |
| gptkbp:is_valued_for |
Flexibility
Theoretical Insights Infinity-Groupoids |
| gptkbp:key |
Understanding Higher Dimensions
Understanding Homotopy |
| gptkbp:material |
Theoretical Frameworks
Modern Mathematics Mathematical Frameworks |
| gptkbp:related_to |
Higher Category Theory
|
| gptkbp:served_in |
Foundation for Higher Structures
|
| gptkbp:supports |
Categorical Logic
|
| gptkbp:used_in |
Homotopy Theory
|
| gptkbp:utilizes |
Simplicial Methods
|