I Passed My Master's Qualifier - Dave K

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SUMMARY

Dave K has successfully passed his Master's qualifier in mathematics, marking a significant academic achievement. The discussion highlights the importance of mnemonics, particularly the phrase "Normally, on a regular basis we require at least Hausdorff spaces," which aided in recalling complex concepts related to topology. Participants shared insights on various mathematical topics, including Hausdorff spaces, separation axioms, and Zariski topology, emphasizing the challenges of memorization in advanced mathematics. The conversation also touched on the humorous aspects of topology and its applications.

PREREQUISITES
  • Understanding of Hausdorff spaces in topology
  • Familiarity with separation axioms (T0 - T5)
  • Basic knowledge of Zariski topology
  • Concepts of continuous deformations in topology
NEXT STEPS
  • Study the properties and applications of Hausdorff spaces
  • Explore the implications of separation axioms in topology
  • Learn about Zariski topology and its significance in algebraic geometry
  • Investigate continuous deformations and their role in topological spaces
USEFUL FOR

Mathematics students, educators, and anyone interested in advanced topics in topology and its applications in various fields.

  • #31
fresh_42 said:
Or the study of notoriously pathological objects.
WWGD said:
Just saw Edward Munch's painting as I read your post...
I would scream too, if my coffee cup turned into a doughnut...!
 
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  • #32
OCR said:
I would scream too, if my coffee cup turned into a doughnut...!
I would tear a piece apart and eat it and drink some coffee with the other part. Give me a Dunkin Donut Grande Toruccino pastry!
 
  • #33
WWGD said:
I would tear a piece apart and eat it and drink some coffee with the other part. Give me a Dunkin Donut Grande Toruccino pastry!
My first thought has been: Could have been worse. There is this specific bottle ...
 
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  • #34
Forbidden !
WWGD said:
I would tear a piece apart...
In mathematics, topology is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
Lol...
 
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  • #35
  • #37
OCR said:
Forbidden !

Lol...
Ouch, you got me there, and that is supposed to be one of my strong areas. Got any topological egg to put on my face ?
 
  • #38
Ibix said:
It's the study of the upper halves of things. From the Greek top, meaning "upper half" and logos, meaning "knowledge".
Ah. Personally, and somewhat proctologically, I prefer bottomology.
 
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  • #39
DennisN said:
Ah. Personally, and somewhat proctologically, I prefer bottomology.
Me too, I just saw this woman bend down right next to a sign that read : "Grab and Go".
 
  • #40
DennisN said:
Ah. Personally, and somewhat proctologically, I prefer bottomology.
That's astrology, but with an extra s.
 
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  • #41
Ibix said:
That's astrology, but with an extra s.
I enjoy sastrology myself.
 
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  • #42
WWGD said:
Ouch, you got me there, and that is supposed to be one of my strong areas. Got any topological egg to put on my face ?
I can offer a topological bagel: http://www.georgehart.com/bagel/bagel.html
 
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  • #43
I know this is late, but congratulations! :partytime::partytime:
 

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