Concept explainers
Plugging up the north pole (ExH). What would happen if you filled in the north pole of the circle in the stereographic projection? Is there any point on the real line to which that extra point could correspond? Show that the cardinality of a circle is the same as the cardinality of (0, 1] (an interval where 0 is not included, but 1 is included).
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Additional Math Textbook Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Fundamentals of Differential Equations and Boundary Value Problems
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Excursions in Modern Mathematics (9th Edition)
Thinking Mathematically (7th Edition)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning