Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.
Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.
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.
Covers the basics of real analysis, including limits, sequences, and continuous functions.
Explores the properties and applications of roots of real numbers through practical examples.
