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In modern mathematics, what does the term 'topology' refer to?

Practice Questions

Q1
In modern mathematics, what does the term 'topology' refer to?
  1. The study of shapes and their properties under continuous transformations.
  2. The analysis of numerical data.
  3. The calculation of areas and volumes.
  4. The study of algebraic structures.

Questions & Step-by-Step Solutions

In modern mathematics, what does the term 'topology' refer to?
  • Step 1: Understand that topology is a part of mathematics.
  • Step 2: Learn that topology focuses on the properties of space.
  • Step 3: Know that these properties remain unchanged when the space is stretched or deformed without tearing or gluing.
  • Step 4: Realize that continuous transformations include actions like bending or twisting, but not breaking.
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