Jeremy Brazas
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Registered User
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May 3 |
awarded | ● Yearling |
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Apr 1 |
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Refining open covers in locally path connected spaces The cone over any space is simply connected and moreover is contractible. It has nothing to do with path connectivity. |
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Mar 31 |
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Refining open covers in locally path connected spaces I am doubtful that restating my question in terms of 0-th homology is helpful. |
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Mar 1 |
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a free topological group as a topological module The last section of Pestov's paper topology.auburn.edu/tp/reprints/v24/tp24221.pdf may be helpful. |
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Mar 1 |
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a free topological group as a topological module Oh, of course you are right! That was ridiculous to suggest. I suppose what I was going for was a non-locally compact group. |
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Mar 1 |
accepted | a free topological group as a topological module |
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Mar 1 |
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a free topological group as a topological module I am interested to know the answer to your general question but remain skeptical. I would be surprised if $\mathbb{Q}$ were not a counterexample. You might try to contact someone who works with free topological groups regularly to see if it is known. |
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Feb 26 |
answered | a free topological group as a topological module |
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Jan 15 |
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Making CW-complexes metrizable I did not mean to stress the "non-explicit homotopy" as much as "preferred CW-structure" but I will see if I can make the construction work for me. Regardless, I still hope someone might know the answer to my question. Thanks again! |
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Jan 14 |
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Making CW-complexes metrizable Thank you for these comments @Igor and @Misha. I am aware of Whitehead's result, however, I don't want to lose my preferred CW-structure with a non-explicit homotopy equivalence. What I am asking seems plausible when you consider the 1-dimensional case. For instance, a countably infinite wedge of circles is not first countable but you can weaken the topology at the basepoint so that it embeds in $\mathbb{R}^2$. The homotopy inverse of the continuous (but non-open) identity map comes from collapsing a small closed ball about the basepoint. |
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Jan 13 |
asked | Making CW-complexes metrizable |
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Dec 22 |
answered | Is the wedge sum of two cones over the hawaiian earring contractible? |
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Dec 14 |
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The integers as a sequential but non-first countable topological group Thanks very much Ramiro. |
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Nov 30 |
asked | The integers as a sequential but non-first countable topological group |
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Nov 30 |
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Hausdorff group topologies on finitely generated groups Thanks, this is an excellent reference. |
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Nov 28 |
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Hausdorff group topologies on finitely generated groups Ok, I now know what the Bohr topology is. Is there a standard text for reading up on this (that includes the failure to be sequential)? |
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Nov 28 |
asked | Hausdorff group topologies on finitely generated groups |
