Newest 'semigroups-and-monoids+gn.general-topology+metric-spaces' Questions

2 votes

0 answers

122 views

First-countable topological monoids without local absorbing elements whose topology is induced by a semimetric

This is a follow up of Question 163246. For the reader's convenience, let me first copy&paste some basic definitions. We let a semimetric on a set $X$ be a function $d: X \times X \to [0,\infty]$ ...

Salvo Tringali

10.5k

asked Apr 16, 2014 at 13:54

2 votes

2 answers

241 views

If $(\mathbb M, \tau)$ is a topological monoid, is $\tau$ always induced by a [left] subinvariant semimetric?

Let me start by recalling some basic definitions (just for the sake of avoiding misunderstandings due to the vocabulary of the post). Basically following some ideas of W. Lawvere (but not his ...

Salvo Tringali

10.5k

asked Apr 12, 2014 at 23:33

Stack Exchange Network

All Questions

First-countable topological monoids without local absorbing elements whose topology is induced by a semimetric

If $(\mathbb M, \tau)$ is a topological monoid, is $\tau$ always induced by a [left] subinvariant semimetric?

All Questions

First-countable topological monoids without local absorbing elements whose topology is induced by a semimetric

If $(\mathbb M, \tau)$ is a topological monoid, is $\tau$ always induced by a [left] subinvariant semimetric?

Related Tags