| Autor: |
Conner, Gregory R., Corson, Samuel M. |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Fund. Math. 232 (2016), 41-48 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4064/fm232-1-3 |
| Popis: |
We show that the first homology group of a locally connected compact metric space is either uncountable or is finitely generated. This is related to Shelah's well-known result which shows that the fundamental group of such a space satisfies a similar criterion. We give an example of such a space whose fundamental group is uncountable but whose first homology is trivial, showing that our result doesn't follow from Shelah's. We clarify a claim made by Pawlikowski and offer a proof of the clarification. |
| Databáze: |
arXiv |
| Externí odkaz: |
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