r/topology

How many holes does a living human have?

I am really curious about it especially if there is a difference between man and female

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u/poklytam — 2 days ago

Construction of Möbius band from a unit square

The partition does not contain the four corners of the unit square, is this a legit partition since the union of elements in the partition is unit square without the four corners? If u see this pls upvote it so more people can see this post, this really confused me.

u/LucasXFound — 4 days ago

Undergraduate Research in Topology

Are there open problems in topology that are appropriate for an undergraduate to solve over the summer? I've taken a the year-long graduate course in algebraic topology which covered roughly the following topics: fundamental group, covering spaces, (co)homology with coefficients, cup/cap products + Poincare duality, higher homotopy groups, fiber bundles/fibrations. I'm planning on reading Milnor and Stasheff's book on characteristic classes over the summer and will be writing a senior thesis on topological K-theory next year.

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u/Material-Way8007 — 13 days ago