Lecture: Di, Do, 10-12h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined
22.07.
Teacher: Heike Mildenberger
Assistant: Hannes Jakob
Language: in German
A topological space consists of a basic set \(X\) and a family of open subsets of the basic set, which is called topology on \(X\). Examples over the basic sets \(\mathbb R\) and \({\mathbb R}^n\) are given in the analysis lectures. The mathematical subject \glqq{}Topology\grqq\ is the study of topological spaces and the investigation of topological spaces. Our lecture is an introduction to set-theoretic and algebraic topology.
Analysis I and II, Linear Algebra I
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Elective (MSc14)
Elective (MScData24)
Set Theory – Independence Proofs
Lecture: Di, Do, 12-14h, SR 404, Ernst-Zermelo-Str. 1
Tutorial: 2 hours, date to be determined
Teacher: Maxwell Levine
Assistant: Hannes Jakob
Language: in English
How does one prove that something cannot be proved? More precisely, how does one prove that a particular statement does not follow from a particular collection of axioms?
These questions are often asked with respect to the axioms most commonly used by mathematicians: the axioms of Zermelo-Fraenkel set theory, or ZFC for short. In this course, we will develop the conceptual tools needed to understand independence proofs with respect to ZFC. On the way we will develop the theory of ordinal and cardinal numbers, the basics of inner model theory, and the method of forcing. In particular, we will show that Cantor's continuum hypothesis, the statement that \(2^{\aleph_0}=\aleph_1\), is independent of ZFC.
Required: Mathematical Logic
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective (MScData24)
Lecture: Di, Do, 10-12h, HS II, Albertstr. 23b
Teacher: Heike Mildenberger
Assistant: Hannes Jakob
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Compulsory Elective in Mathematics (BSc21)
Mo, 10-12h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Heike Mildenberger
Assistant: Hannes Jakob
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Mi, 10-12h, HS II, Albertstr. 23b
Teacher: Heike Mildenberger
Assistant: Hannes Jakob
general:
Lecture: Di, Do, 10-12h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Heike Mildenberger
Assistant: Christian Bräuninger, Hannes Jakob
general:
Teacher: Heike Mildenberger
Assistant: Francesco Gallinaro, Hannes Jakob
general: