Introduction to Topology

From Wikiversity

Welcome to Topology!

Contents 1 Department description 2 Department news 3 Learning materials and learning projects 4 Offsite Learning Materials 5 Recommended Reading Material 5.1 Wikipedia 6 Active participants

[edit] Department description

The goal of the introductory topology department is to introduce and build proficiency with the basic machinery of modern topology using examples from an area of topology that is well understood, such as the topology of surfaces. The student will then be well-prepared to encounter the strangeness and pitfalls of more abstract and higher-dimensional topology.

[edit] Department news

• Wednesday, August 23, 2006 - Department founded!

[edit] Learning materials and learning projects

Wikiversity has adopted the "learning by doing" model for education. Lessons should center on learning activities for Wikiversity participants. Learning materials and learning projects can be used by multiple departments. Cooperate with other departments that use the same learning resource.

Learning materials and learning projects are located in the main Wikiversity namespace. Simply make a link to the name of the lesson (lessons are independent pages in the main namespace) and start writing!

1. Lesson 1 What is a topology?
2. Lesson 2 Continuous maps
3. Lesson 3 Metric spaces

[edit] Offsite Learning Materials

• The Geometry Junkyard's Geometric (Surface) Topology Collection

• Topology Atlas

• Topology Without Tears an accessible introduction to the basics of topology.

• Journal of Geometry and Topology - By the end of this course, the student should be able to at the least read the simplest of these papers without their head exploding. ;-)

[edit] Recommended Reading Material

Like all other mathematics, topology can only be learned by doing it. While this site provides a supportive community of peers and teachers, you also need a well-organized and well-written text that you can study anywhere to learn from those actively participating in the field.

• Kinsey, L. Christine. (2004). Topology of Surfaces Springer. ISBN 0387941029

• Munkres, James. (1999). Topology Prentice Hall. ISBN 0131816292

[edit] Wikipedia

• w: Topology (Wikipedia)
• b: Topology (Wikibooks)

[edit] Active participants

The histories of Wikiversity pages indicate who the active participants are. If you are an active participant in this department, you can list your name here (this can help small departments grow and the participants communicate better; for large departments a list of active participants is not needed).

• I am mathematician dedicated to study topology, things related to two modern concepts: trigenus and Stiefel-Whitney surface. Juan--Juan Marquez 23:17, 8 May 2007 (UTC)