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**Algebraic Topology Books **. We hope students and teachers like these **textbooks**, notes and solution manuals.

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**About this book :- **
**Lecture Notes on Algebraic Topology ** written by
** Jie Wu **.

**Book Detail :- **
** Title: ** Lecture Notes on Algebraic Topology
** Edition: **
** Author(s): ** Jie Wu
** Publisher: **
** Series: **
** Year: **
** Pages: ** 169
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
** Get this book from Amazon**

**About Author :- **

** Jie Wu **, Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore, matwujie@math.nus.edu.sg

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**Book Contents :- **
**Lecture Notes on Algebraic Topology ** written by
** Jie Wu **
cover the following topics.
**1. Introduction**

Sets, Monoids and Groups, G-sets, Categories and Functors
**2. General Topology**

Metric spaces, Topological Spaces, Continuous Functions, Induced Topology, Quotient Topology, Product Spaces, Wedges and Smash Products, Topological Groups and Orbit Spaces, Compact Spaces, Hausdorff Spaces and Locally Compact Spaces, Mapping Spaces and Compact-open Topology, Manifolds and Configuration Spaces
**3. Elementary Homotopy Theory**

Homotopy Sets, Homotopy Equivalences and Contractible Spaces, Retraction, Deformation and Homotopy Extension Property, H-spaces and Co-H-spaces, Barratt-Puppe Exact Sequences
**4. The Fundamental Groups and Covering Spaces**

The fundamental Group, The Seifert-Van Kampen Theorem, Covering Spaces, The Lifting Theorem For Covering Spaces, Universal Covering
**5. Homology **

Eilenberg-Steenrod Axioms, Computations and Applications, sets, Simplicial Sets and Homology

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- 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) ?