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**Algebraic Topology Summer term 2016 ** written by ** Christoph Schweigert,
Hamburg University, Department of Mathematics, Section Algebra and Number Theory and Center for Mathematical Physics **
This is an other great mathematics book cover the following topics.

Chain complexes, Singular homology, The homology groups H0 and H1, Homotopy invariance, The long exact sequence in homology, The long exact sequence of a pair of spaces, Excision, Mayer-Vietoris sequence, Reduced homology and suspension, Mapping degree, CW complexes, Cellular homology, Homology with coefficients, Tensor products and the universal coefficient theorem, The topological K¨unneth formula

Definition of singular cohomology, Universal coefficient theorem for cohomology, Axiomatic description of a cohomology theory, Cap product, Cup product on cohomology, Orientability of manifolds, Cohomology with compact support, Poincar´e duality, Alexander-Lefschetz duality, Application of duality, Duality and cup products, The Milnor sequence, Lens spaces, A first quick glance on homotopy theory

Download Free PDF Algebraic Topology Summer term 2016 by Christoph Schweigert

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
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- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?

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