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Results tagged with gn.general-topology
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user 12482
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
6
votes
Accepted
Formal series convergence in deformation quantization and $C^*$-condition
OK, let me give a try on this question. There are several problems hidden underneath which one has to address.
First, for physical reasons a formal deformation is not sufficient. $\hbar$ is a constan …
- 8,098
4
votes
Is there a sheaf theoretical characterization of a differentiable manifold?
This is more a long comment than an answer, but the comments concerning the question Hausdorff or non-Hausdorff triggered this...
The second countable condition is certainly desirable for many reason …
- 8,098
4
votes
Accepted
Hermitian vector bundles and Hilbert $C^*$-modules
In addition to Nik Weaver's references, let me just sketch the proof which is in fact not very difficult:
A construction of Kaplansky (Rings of operators, Thm 26) shows that if $\mathcal{A}$ is a $*$ …
- 8,098
1
vote
General theory for p-normed spaces
This is probably not quite an answer to your question but rather a hint how a generalization should look like. As already mentioned in the comments, the discrete and continuous measure-theoretic $\ell …
- 8,098