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Actually it's not so bad: start with Hawaiian earring and loop L_n around the n-th circle. Attach pair of pants P_n to H where the belt of P_n is attached by L_n. One ankle is attached by L_{2n} and the other is attached by L_{2n+1}. It has some really fascinating propertiespic.twitter.com/NLStuwzsGJ
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After taking a little break from research, I have a full day tomorrow to work. Do I turn a mostly-finished project into a paper or spend all day on a shiny new problem that's caught my eye?pic.twitter.com/n7tEPciiUd
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It's just a continuous image of [0,1]... nbd.
#peanocontinuum#selfsimilar#topology#geometrypic.twitter.com/oAbvHOnLEL -
Just in case you didn't use unique path-lifting today.pic.twitter.com/eqGizffskz
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Meet the Hawaiian mapping torus - the mapping torus of the shift map. First singular homology is infinite cyclic generated by inner loop. Can you find the non-trivial elements of H_2? If you look at the image, it might feel H_2 is trivial since there is no "enclosed space!"pic.twitter.com/Vk39my2UrW
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Spanier Groups: vintage covering space theory https://wildtopology.wordpress.com/2019/12/15/spanier-groups-vintage-covering-space-theory/ …pic.twitter.com/mO04OC6Gv1
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Higher Dimensional Hawaiian Earrings https://wildtopology.wordpress.com/2019/11/23/higher-dimensional-hawaiian-earrings/ …pic.twitter.com/J6jVlkNJSt
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The Eckmann-Hilton Argument! The higher homotopy groups are not just commutative but are "infinitely" commutative...whatever that means
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Topological wildness vs. algebraic wildness https://wildtopology.wordpress.com/2019/08/14/topological-wildness-vs-algebraic-wildness/ …pic.twitter.com/5iL73s1XLY
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Shape Injectivity of the Hawaiian Earring Part II https://wildtopology.wordpress.com/2019/08/06/shape-injectivity-of-the-hawaiian-earring-part-ii/ …pic.twitter.com/qT2ukLZOwY
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Shape injectivity of the Hawaiian earring Part I https://wildtopology.wordpress.com/2019/07/31/shape-injectivity-of-the-hawaiian-earring-part-i/ …pic.twitter.com/MlYg3a8mbF
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Celebrating the Career and Contributions of Katsuya Eda: Master of the Hawaiian Earring https://wildtopology.wordpress.com/2018/05/16/celebrating-the-career-and-contributions-of-katsuya-eda-master-of-the-hawaiian-earring/ …pic.twitter.com/IsBpFiXvpw
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Homotopically Hausdorff Spaces II https://wildtopology.wordpress.com/2017/03/18/homotopically-hausdorff-spaces-ii …pic.twitter.com/rcmih6s4mb
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Homotopically Hausdorff Spaces I https://wildtopology.wordpress.com/2017/03/14/homotopically-hausdorff-spaces-i …pic.twitter.com/1VU8KefQML
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@GSUHonors students collaborating on their digital calculus exam before Thanksgiving break.#digitalliteracypic.twitter.com/UION3O4p3P
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I found this giant relic in a room I teach in. I assume an archeologist left it here on accident.pic.twitter.com/qS7hcP0Uvn
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The pale blue dot with
@neiltyson. Thanks for an inspiring lecture.#horraysciencepic.twitter.com/3lNJtLO656
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