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Orientation and degrees
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Related lectures (35)
Topologie: Attachment Applications
Covers exercises on attaching 1-cells to intervals in topology.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Cohomology Groups: Hopf Formula
Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.
General Manifolds and Topology
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Covers manifolds, topology, smooth maps, and tangent vectors in detail.
Manifolds: Charts and Compatibility
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Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.
Homology Groups: Basics
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Introduces reduced homology groups and explains their properties and applications in topology.
Connections: motivation and definition
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Explores the definition of connections for smooth vector fields on manifolds.
Knot Theory: The Quadratic Linking Degree
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Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.
Analytic Manifolds and Berkovich Spaces
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Introduces analytic manifolds, Berkovich spaces, and multiplicative semi-norms in K-algebras.
Homology: Introduction and Applications
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Introduces homology as a tool to distinguish spaces in all dimensions and provides insights into its construction and applications.
Homotopy: Degree
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Covers the concept of degree in homotopy theory and the structure of complexes with two simplices.
Topology: Open Sets, Compactness, and Connectivity
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Explores open sets, compactness, and connectivity in topology, covering topological spaces and compact sets.
Linear Lie Groups: Definitions and Theorems
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Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.
Homogeneous Coordinates and Conics
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Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
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