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Results tagged with gn.general-topology
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user 1708
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
9
votes
Smooth map homotopic to Lie group homomorphism
As Igor shows, every endomorphism of a simple Lie group $G$ has degree $\in\{0,\pm 1\}$.
On the other hand, every compact Lie group admits self maps of other degrees. Namely, the $k$-th power map $g\ …
- 6,546
6
votes
1
answer
183
views
Reference request: A collection of topologies on $\mathbb{N}$ formed via series
First, some quick notation: for any series $\sum_{n=1}^\infty a_n$ whose terms are positive real numbers, and for any subset $M = \{m_1, m_2,...\} \subseteq \mathbb{N}$, we write $\sum_M a_n$ to mean …
- 6,546
12
votes
Explanation for E_8's torsion
This doesn't directly address your question, but it does give you a way of thinking about torsion in the cohomology of Lie groups in general.
(This is all coming from Borel and Serre's Sur certains s …
- 6,546