Entry requirements

Topology MN1 or Real Analysis MN1, Algebra MN3 and

Analysis MN2.

Aims

The course will provide basic knowledge of algebraic topology and topology on manifolds.

Content

Homotopy, fundamental group and covering spaces,

geometric applications. Topological manifolds,

classification of one-dimensional manifolds and

two-dimensional closed manifolds. Smooth

manifolds, immersions and imbeddings,

orientation, the tangent bundle and vector

bundles.

Instruction

Lectures and problem solving sessions.

Assessment

Written and, possibly, supplementary oral

examination at the end of the course.