"Topology is a branch of mathematics concerned with geometric properties preserved under continuous deformation (stretching without tearing or gluing)"
That is indeed the established meaning of topology, more so in mathematics and the blog post was on applied mathematics. That it may mean something else in other contexts is irrelevant.
I rest my case.
> The most common uses of "topology", whenever used to convey a geometry-related idea, is in the more general sense meaning "surfaces"
Erm, citation please.
I included a search on Amazon on topology https://www.amazon.com/s?k=Topology&sprefix=topology+%2Caps%... (without even adding the keyword maths. None of the results seem to be about surfaces. Shouldn't there have been a few ? Wouldn't Amazon search results reflect the general sense meaning ?).
If it were true, wouldn't the Wikipedia pages have talked about that general sense meaning first ?
Alternatively, I would say, take a breath. Is this hill really the one worth dying on ? There are better ones. Have a good day and if work permits, get yourself a juicy topology book, it can be interesting, if presented well.
The question was never "Is topology a field of mathematics". The question was, is that term most often used to refer to surfaces in general, and the answer to that is still 'yes'.
Could you drop Amazon a message. They should really change the search results if that's what topology means in general. I am sure they would be delighted to receive the bug report.
For laughs, I asked ChatGPT to use 'topology' in place of 'surface'. Here's what it wrote:
The topology of the lake was so calm it reflected the mountains perfectly.
She wiped the kitchen topology clean after cooking dinner.
After years of silence, the truth began to topology.
The spacecraft landed safely on the topology of Mars.
A thin layer of dust had settled on the topology of the old table.
He barely scratched the topology of the topic in his presentation.
As the submarine ascended, it broke through the topology of the ocean.
The topology of the road was slick with ice.
Despite her calm topology, she was extremely nervous inside.
The paint bubbled and peeled off the topology due to the heat.
Our disagreement aside, I think these are hilarious. We should agree on that.
The best was
The surface of a doughnut resembles that of a coffee mug due to their similar structure.
(that now you seem to have deleted after my comment https://en.m.wikipedia.org/wiki/Topology_(disambiguation) )
"Topology is a branch of mathematics concerned with geometric properties preserved under continuous deformation (stretching without tearing or gluing)"
That is indeed the established meaning of topology, more so in mathematics and the blog post was on applied mathematics. That it may mean something else in other contexts is irrelevant.
I rest my case.
> The most common uses of "topology", whenever used to convey a geometry-related idea, is in the more general sense meaning "surfaces"
Erm, citation please.
I included a search on Amazon on topology https://www.amazon.com/s?k=Topology&sprefix=topology+%2Caps%... (without even adding the keyword maths. None of the results seem to be about surfaces. Shouldn't there have been a few ? Wouldn't Amazon search results reflect the general sense meaning ?).
If it were true, wouldn't the Wikipedia pages have talked about that general sense meaning first ?
Alternatively, I would say, take a breath. Is this hill really the one worth dying on ? There are better ones. Have a good day and if work permits, get yourself a juicy topology book, it can be interesting, if presented well.