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Description

The material in this text is intended to be accessible to undergraduates who have had an introduction to elementary set theory and proof techniques. It includes sufficient material from general topology to prove the two main topological results found in a standard first semester calculus course: the Intermediate Value Theorem and the Extreme Value Theorem. This material can be found in Chapters 2 through 6 and makes up the bulk of the text. Rather than approaching these topics through use of the standard euclidean metric, it defines the standard topology on R in terms of the usual order on R. A brief introduction to metric topologies is included in the Appendix.

DOI

10.31356/oers037

Publication Date

5-30-2024

Document Type

Textbook

City

Grand Forks, ND

Keywords

Mathematics, topology

Disciplines

Mathematics

Creative Commons License

Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

A Brief Introduction to General Topology

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Mathematics Commons

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