Homology Group/Examples/Space with Holes
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Example of Homology Group
Let $X$ denote a space in $3$ dimensions with $28$ disjoint open balls removed.
Then $\map {H_2} X$ has $28$ independent generators.
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): homology group
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): homology group