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Solutions to marked exercises on Sheet 1 have been uploaded (email Albert if there are errors). There will be NO tutorial on Monday, Nov 10th (it will be rescheduled as exam prep shortly before the exam). |
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Here are the results of the second written exam. If there are questions, please come by Albert's office on Tuesday at 4PM. |
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Course Description
We understand this course as a comprehensive beginners course in algebraic topology. Although it is helpful to have taken Topologie I to follow the present course, it is not necessary. The aim of Topologie II is for you to thoroughly understand and be able to apply all notions of homology and cohomology, the cup and cross product, as well as some results on duality (for instance Poincaré duality). The course will roughly be structured as follows (as time permits):
We recommend the books by J. Munkres ("Elements of Algebraic Topology", Addison-Wesley 1984) and A. Hatcher ("Algebraic Topology", Cambridge U Press 2002, also online) and the succinct lecture notes by J. P. May ("A Concise Course in Algebraic Topology", online). |
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Tutorials and Problems
In the tutorial, we will learn some things that will help us better understand the lecture, expand on topics from class, and occasionally review exercises. Every week now and then a sheet will appear on this website containing 3-8 exercises, some of which we highly recommend. Do the other exercises if they seem challenging enough or if you don't have an idea of how to solve them immediately. Solutions to the highly recommended and challenging select exercises will appear on this website a week later. In order to encourage you to solve exercises, we will (1) periodically ask students to present solutions to an exercise in the tutorial and (2) base parts of the exam on the exercises. Course requirements are the following: (1) You must actively participate in the course. (2) You must pass an exam at the end of the semester which alone will determine your grade. The date of the exam is March 3rd, 2015 from 14-16h in the lecture hall in the Informatikgebäudefirst written exam will take place on March 3 from 2-4 PM in "Großer Hörsaal Informatikgebäude Takustraße 9". The second written exam will take place on April 13 from 10AM - 12PM in "Seminarraum Animallee 2".
Exercise Sheets
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