# Math 451: Intro to Topology

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## Contents

## Catalog Information

### Title

Introduction to Topology.

### (Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

### Offered

W (even years)

### Prerequisite

### Description

Developing topological concepts, beginning from a linear setting. Developing proofs or counterexamples from axioms to a structured sequence of topological propositions using only notes provided.

## Desired Learning Outcomes

### Prerequisites

### Minimal learning outcomes

1. Students should demonstrate an ability to write and present mathematical proofs beyond that learned in Math 290.

2. Students should demonstrate understanding of the following concepts by proving theorems about them: linear ordering, connectedness, continuity, open and closed sets, density, compactness, local connectedness, local compactness.

### Textbooks

Possible textbooks for this course include (but are not limited to):