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There are different things in mathematics that are called space: Topological space, vector space, etc. Wikipedia defines space as below:
It seems people tend to use this word for things that have a more geometrical nature. Or is there something else?
I'm asking this because rigorous mathematical texts don't do it too so there is a chance they've got a reason for it!
Thanks
And in the page related to the word "structure", algebraic structures are listed too. So why people never use the word "space" when talking about groups, fields, rings, etc.?Wikipedia said:
It seems people tend to use this word for things that have a more geometrical nature. Or is there something else?
I'm asking this because rigorous mathematical texts don't do it too so there is a chance they've got a reason for it!
Thanks