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In modern mathematics, what does the term 'topology' refer to?
In modern mathematics, what does the term 'topology' refer to?
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In modern mathematics, what does the term 'topology' refer to?
The study of shapes and their properties under continuous transformations.
The analysis of numerical data.
The calculation of areas and volumes.
The study of algebraic structures.
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Topology is the branch of mathematics that studies the properties of space that are preserved under continuous transformations.
Questions & Step-by-step Solutions
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Q
Q: In modern mathematics, what does the term 'topology' refer to?
Solution:
Topology is the branch of mathematics that studies the properties of space that are preserved under continuous transformations.
Steps: 4
Show Steps
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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