Higher Homotopy Groups: Generalization and Structure

Related lectures (30)

Page 3 of 3

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

Covers the concept of natural numbers, including properties like commutativity and associativity.

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

Covers the properties of linear molecules in carbon and discusses neutral elements, associative law, and conjugate elements.

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Showcases the use of assertions in Stainless to prove properties of fractions.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Covers addition properties and operations in the set of integers Z.

Covers ideals, representations, modules, and maximal ideals in associative algebras.