Lattice and sheaf theory

Course Code :1001WETTRA
Study domain:Mathematics
Academic year:2017-2018
Semester:1st semester
Sequentiality:Min 8/20 for Groups and rings.
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Wendy Lowen

3. Course contents *

PART1:

- partially ordered sets
- lattices, considered as algebraic objects
- distributive lattices as sublattices of power sets
- Boolean algebras
- frames as point free topological spaces
- modular lattices, length and Goldie dimension
- continuous and algebraïc dcpo's

PART2:

- sheaves on spaces in topology, differential geometry, algebraic geometry
- sheaves on frames in set theory

- sheafification