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Examples
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For example, the torus and the 2-sphere have different fundamental groups, and this proves that they not the same space.
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For example, the torus and the 2-sphere have different fundamental groups, and this proves that they not the same space.
Conservapedia - Recent changes [en] PatrickD 2009
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For example, the torus and the 2-sphere have different fundamental groups, and this proves that they not the same space.
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I use the unit 2-sphere and tidal forces to introduce the concept of an obstruction, which gets us into the metric and parallel transport.
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For example, the torus and the 2-sphere have different fundamental groups, and this proves that they not the same space.
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For example, the torus and the 2-sphere have different fundamental groups, and this proves that they not the same space.
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