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I am new to math and topology. Suppose there are $4$ ladies. One wears her hair straight down her back. Another splits them into $2$ parts and wears them across each shoulder. The third lady wears a single plait. The fourth knots a bun on top of her head. Are these $4$ hair styles topologically similar?

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    $\begingroup$ The bun and the straight down hairstyle of the $4$th and $1$st lady are topologically similar. The first lady's hair and second lady's hair are not topologically similar (because the partition of the second lady's hair into 2 parts) $\endgroup$ Mar 6, 2018 at 16:23
  • $\begingroup$ Okay thanks. I only knew about donut and tea cup. $\endgroup$
    – Chakra
    Mar 6, 2018 at 16:31

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