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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

0 votes
0 answers
147 views

Left-side cosets of an open subgroup

Let $G$ be a topological group and $H$ its closed subgroup. $K$ and $L$ are open subgroups of $G$ and $H$ respectively. Let $g_{1}, g_{2}\in G$. We assume $L\cap g_{1}K\neq \emptyset$ and $L\cap g_{2} …
M masa's user avatar
  • 479
4 votes
1 answer
299 views

Topological structure on higher dimensional local fields

Let $F$ be a $n$-dimensional local field. If $n=0$ or $1$, the topological structure on $F$ was well-known, however if $n>1$ i.e, $F$ is a higher dimensional local field, I don't know something nice t …
M masa's user avatar
  • 479