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category theory
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cohomology
without the universal coefficient theorem:
with:
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when the professor doesn't want to answer questions
him:
me:
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when people ask if I'm good with numbers
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when a functor is unfaithful
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the fine hall elevator after lunch
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how I choose my math courses
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as I learn more and more de rham cohomology
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any time I finish giving a talk
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how dedekind constructed the irrational numbers
(The Dedekind cut.)
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when people think that connectedness implies local connectedness
(The topologist's sine curve is connected but not locally connected.)
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99 percent of topological problem solving
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when somebody has a homework solution
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when the homework grader gives bad grades
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computing chain complexes
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when I explain my thought process to the professor
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