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1. Calculate the simplicial homology groups of the (abstract) simplicial complex K = {{1,2, 3}, {1, 2}. {1,3}, {2, 3}, {3, 4}, {4,5}, {3, 5}, {1}, {2}, {3}. (4}, {5}} by writing the chain complex C.(K) together with its boundary maps.

1. Calculate the simplicial homology groups of the (abstract) simplicial complex K = {{1,2, 3}, {1, 2}. {1,3}, {2, 3}, {3, 4}, {4,5}, {3, 5}, {1}, {2}, {3}. (4}, {5}} by writing the chain complex C.(K) together with its boundary maps.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Calculate the simplicial homology groups of the (abstract) simplicial complex K = {{1,2, 3}, {1,2}, {1,3}, {2, 3}, {3, 4}, {4, 5}, {3, 5}, {1}, {2}, {3}. {4}, {5}} by writing the chain complex C.(K) together with its boundary maps.
Transcribed Image Text:1. Calculate the simplicial homology groups of the (abstract) simplicial complex K = {{1,2, 3}, {1,2}, {1,3}, {2, 3}, {3, 4}, {4, 5}, {3, 5}, {1}, {2}, {3}. {4}, {5}} by writing the chain complex C.(K) together with its boundary maps.
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