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Quotient space (linear algebra)
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Related lectures (29)
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Local structure of totally disconnected locally compact groups V
Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.
Linear Algebra in R³: Vector Spaces
Explores vector spaces in three dimensions, covering linear combinations, subspaces, and properties of families of vectors in R³.
Well Pointed Spaces and Wedge
Discusses well pointed spaces, neighborhoods, wedges, examples, and the universal property of the quotient.
Haar Measures and Quotient Functions
Covers Haar measures, quotient functions, and their importance in group actions.
Quotient by a Relation
Covers the concept of quotient space by a relation and its applications.
What is a (sub)manifold
Introduces the concept of a submanifold in a linear space, defining it as a set smoothly embedded in the space.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Generalized Integrals: Elementary Cases
Explores elementary cases of generalized integrals, convergence criteria, and the interpretation of integrals of type i and ii.
Inverse Limits and Topologies
Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.
Equivalence Classes
Introduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.
Attachment of a 2-cell
Covers the attachment of a 2-cell to a space and explores the concept of the attachment application f.
Wedge: Family of Spaces
Explores the concept of a wedge of spaces and explicit parainization.
Modular curves: Riemann surfaces and transition maps
Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.
Homotopy Pushouts: Standard Models and Equivalence Properties
Explores homotopy pushouts, standard models, equivalence properties, and the importance of strict commutativity in pushout constructions.
Homogeneous Spaces and Quotients
Covers homogeneous spaces, group actions, and separating quotient spaces in mathematics.
Topology: Separation Criteria and Quotient Spaces
Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.
Topology: Homotopy and Projective Spaces
Discusses homotopy, projective spaces, and the universal property of quotient spaces in topology.
Derivative: introduction
Covers the definition of derivative, examples, Newton's quotient, and continuity.
Topology: Exploring Cohomology and Quotient Spaces
Covers the basics of topology, focusing on cohomology and quotient spaces, emphasizing their definitions and properties through examples and exercises.
Equivalence Classes and Relations
Covers equivalence classes, relations, quotient sets, and functions properties.
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