The uniqueness theorem for cohomologies on the category of polyhedral pairs
Let Xbe a topological space and F={Fα}be a direct system of all compact subsets Fαof X, directed by inclusions. For any homology theory H∗the groups {H∗(Fα)∣Fα⊂X}constitute a direct system, and the maps H∗(Fα)→H∗(X)define a homomorphism i∗:lim⟶H∗(Fα)→H∗(X).As is known (Theorem 4.4.6, Spanier, 1966),...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-08-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809217301137 |