Category:Examples of Topological Groups
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This category contains examples of topological groups.
$\struct {G, \odot, \tau}$ is a topological group if and only if the following conditions are fulfilled:
| \((1)\) | $:$ | Continuous Group Product | $\odot: \struct {G, \tau} \times \struct {G, \tau} \to \struct {G, \tau}$ is a continuous mapping | ||||||
| \((2)\) | $:$ | Continuous Inversion Mapping | $\iota: \struct {G, \tau} \to \struct {G, \tau}$ such that $\forall x \in G: \map \iota x = x^{-1}$ is also a continuous mapping |
where $\struct {G, \tau} \times \struct {G, \tau}$ is considered as $G \times G$ with the product topology.
Pages in category "Examples of Topological Groups"
This category contains only the following page.