Talk:Topology/Archive 1

message: Substituted at 20:54, 4 May 2016 (UTC)
thread_title: Assessment comment

message: The article is severely lacking in context, topology is defined as the movement of systems (physical) in place or space, Geophysical Topology is the study of the transformation of landforms or structure throughout natural processes, applied commonly in planetary geophysics, volcanology, erosion and environmental systems, and related to any other physical transformation in any space, especially the time series modeling of processes or systems.  — Preceding unsigned comment added by 67.52.86.218 (talk) 06:35, 7 April 2013 (UTC)
replies: text: That's topoGRAPHY, isn't it?  — Arthur Rubin  (talk) 08:22, 7 April 2013 (UTC)
replies: text:  Agreed, this is called geomorphology or perhaps changes in geophysical topography. The notion of topology is used in cartography; see for instance, Topological map and Geospatial topology. Both these links are on the Topology (disambiguation) page, so I think we have them covered.. --Mark viking (talk) 15:42, 7 April 2013 (UTC)
thread_title:  GeoPhysical TopoLOGY, the movement in space 

message: An ip-editor had written "This is of course nonsense." as the sections final sentence. It was was recently reverted as possible vandalism. The ip-editor was right. The whole section is utter nonsense. YohanN7 (talk) 21:10, 22 April 2014 (UTC)
thread_title:  [[Topology#Humanities]] 

message: In fields as different as cultural geography, political theory and psychoanalysis, an increasing use of topology has attempted to consider space using metaphors of proximity, closeness, neighbourhood and transformation rather than simply distance. With its emphasis on holes and sutures and its attention for qualitative traits rather than quantitative properties of geometrical structures such as lengths, degrees, and areas, topology has offered crucial tools for critical investigations. This has allowed for consideration of complex structures in their totality, addressing elements of contiguity and transformation and producing new ways of representing and problematising subjectivity formations. Applications of topological structures like the Möbius strip have been used to illustrate a number of phenomena, including the formation of the unconscious in Lacanian psychoanalysis or the spatial conceptualisation of universalism in Islamic political theology.
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YohanN7 (talk) 21:13, 22 April 2014 (UTC)
thread_title:  Humanities 

message: I thing that intermediate stages in animation of going from mug to doughnut is not a correct represantaition of continuous deformation, therefore are misleading. Compaire the Mugs 1. with closed top and 2. with open top. Are they same?
::Yes.  The cup part of the mug is an indentation, and is topologically the same as (homeomorphic to) a solid.  For example, consider a "fat" hemisphere that opens upward, like a cup.  That can be mapped downward into a "fat" pancake by a continuous bijection, and then mapped back upward to the hemisphere by the inverse bijection.  The part of the cup that is topologically equivalent to the hole in the donut is the handle. Rick Norwood (talk) 12:56, 26 November 2014 (UTC)
replies: text: PS Why is this header red?  Does anyone know.  And why are some headers black and others blue.  The formatting looks the same. Rick Norwood (talk) 13:01, 26 November 2014 (UTC)
replies: text: It's red because it's a link to an article which doesn't exist; blue would be a link to an article which does exist, and black is not a link. — Arthur Rubin  (talk) 13:33, 26 November 2014 (UTC)
replies: text:  Just for clarification. Those two mugs (with closed and open top) have different serfice areas. This is visualy apparent. Does it matter? 109.252.68.49 (talk) 19:43, 26 November 2014 (UTC)
replies: text: No, surface area doesn't matter. Two spheres of different sizes have different surface area, but they can certainly be continuously deformed into each other. -GTBacchus(talk) 19:48, 26 November 2014 (UTC)
thread_title:  [[Animated example with donut]] 

message: OK, this is not a new issue, but I wonder if we can finally clarify it, maybe not once-and-for-all, but at least clearer than it's been.
I happened to notice this passage from the introductory section:
*General topology establishes the foundational aspects of topology and investigates properties of topological spaces and concepts inherent to topological spaces. It includes point-set topology, which is the foundational topology used in all other branches (including topics like compactness and connectedness).
However, point-set topology, which is linked, is simply a redirect to general topology.
I know that in past discussions some editors have tried to draw a distinction between general topology and point-set topology, but I've never gotten a sense that there's really a clear agreed one to draw.  Some editors have based it on the "level", but I've never been sure which topic is supposed to be "more advanced".
I guess you could argue that "general" topology includes pointfree topology, whereas point-set topology doesn't (if there are no points, how can there be pointsets?) but pointfree topology being a relatively small field, I have my doubts that most workers who talk about "general topology" or "point-set topology" are really making that particular distinction.  I think the terms are used mostly as synonyms, with "general" being perhaps slightly more "modern" terminology.
I suppose my suggested fix for this particular passage is pretty simple; something like this:
*General topology, also called point-set topology, establishes the foundational aspects of topology and investigates properties of topological spaces and concepts inherent to topological spaces. It defines the basic notions used in all other branches of topology (including concepts like compactness and connectedness).
So I know, kind of a lot of words for a change I could just have made boldly, but if there really is a distinction that's generally understood in the field between general and point-set, then maybe someone could point it out.  In the meantime, I think I'll go ahead and put in my suggested change. --Trovatore (talk) 08:44, 6 September 2016 (UTC)
replies: text: Back in the stone age–when I was in graduate school–general topology and point-set topology were considered synonyms. More particularly, "general topology" was used to differentiate the field from "algebraic topology" (other flavors of topology were never brought up in this dichotomy, even though there were some specialists in those areas around). The usual locution was "General () topology ..." with the parenthetical remark, in a lower voice, thrown in for clarification. So, I support your change. --Bill Cherowitzo  (talk) 21:17, 6 September 2016 (UTC)
thread_title:  General vs point-set topology 

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thread_title:  External links modified 

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*Added archive https://web.archive.org/web/20090713073050/http://www.ornl.gov/sci/ortep/topology/defs.txt to http://www.ornl.gov/sci/ortep/topology/defs.txt
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thread_title:  External links modified (January 2018)