Week1Lecture5: Topology in the complex plane

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Prof Bonfert-Tylor, many thanks for your great lectures.

probono
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My first lecture in my Complex Analysis went over the topology of C and it was very confusing and terse. This video helped a ton, thank you!

mohamedtlili
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this is a hard topic to understand, but if u come across this, the world is yours. Thank you, Professor!

johnq
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Thanks prof for such great series of lectures .

emc
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The information is not exactly in the same order, but your lectures are a great supplement to CA by Gamelin. Thank you for your hard work!

ghostzart
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thank you so much. Because your great lecture and I love complex analysis.

seanc
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I doubt the theorem she gave that a subset G of C is connected iff any two points in G can be joined in G by successive line segments. I think the latter statement is equal to the definition of path - connectedness, so I guess that the topologist's sine curve can be a counterexample for that theorem(the graph of topologist's sine curve is a subset of R^2 which is isomorphic to C thus the graph can be regarded as a subset of C). Am I right? or Did I have any serious mistake???

taegyukang
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how can I have this notes I mean this power point

salumuhamisiramadhani
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so do the complex plane contains negative infinity... since R is a subset of C ? Or is it like R is an open set and infinity is its boundary so C contains R but not its boundary Pos. and Neg infinity..:)

MrSazid