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Lecture
Cartesian Product
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Related lectures (27)
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Sets and Relations
Introduces sets, Cartesian product, order importance, and relations on sets.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Two Definitions of Group Action
Explores two definitions of group action on a set, focusing on properties and applications.
Lifting properties and model categories
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Real Numbers: Sets and Operations
Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.
Mathematics: Sets and Functions
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
Standard Properties: Distance and Norm
Covers the standard properties of distance and norm in vector spaces.
Categories
Introduces categories as collections of objects with morphisms and identity morphisms.
General Manifolds and Topology
Covers manifolds, topology, smooth maps, and tangent vectors in detail.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.