Date: Sat, 10 Jun 2023 03:55:07 +0300 (EEST) Message-ID: <952663640.50526.1686358507699@wiki-1.it.helsinki.fi> Subject: Exported From Confluence MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_Part_50525_785914824.1686358507699" ------=_Part_50525_785914824.1686358507699 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Content-Location: file:///C:/exported.html Introduction to algebraic topology, fall 2011

# Introduction to algebraic topology, fall 2011=20

### Lecturer

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Aleksandr Pasharin

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10 cu.

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### Prerequis= ites

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Topology II, Algebra I, Linear Algebra I.

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### Contents

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The course is intended to be the first introduction to the singular homo= logy theory and homological methods in algebraic topology.

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We start off with the brief excursion to the world of simplices, simplic= ial methods and Delta-complexes. Then we move on to the main subject of the= course - construction of the singular homology theory. We go through all t= he essential properties of the singular homology and apply it to prove the = classical topological results such as the Invariance of Domain, Brouwer's f= ixed-point theorem, Brouwer-Jordan separation theorem, the main theorem of = Algrebra and others.

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### Lectures

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Weeks 36-42 and 44-50, Wednesday 10-12 in room B321, Friday 11-13 in roo= m B322. Two hours of exercise classes per week.

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### Exams

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Final exam. Also bonus points for the exercises: 25% - 1 point, 40% - 2 = points, 50% - 3 points, 60% - 4 points, 75% - 5 points.

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### Bibliograp= hy

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Allen Hatcher: Algebraic Topology

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### Registration

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Did you forget to register? What to do.

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### Exercise= groups

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Group

Day

Time

Place

Instructor

1.

Tuesday

12-14

C322

Aleksandr Pasharin

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