research article
Some counterexamples in surface homology
November 1, 2024
We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficulties in working with minimal homology bases. Introducing hyperbolic ribbon graphs we modify the examples so as to have a hyperbolic metric.
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Name
10.1007_s00229-024-01595-7.pdf
Type
Main Document
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Published version
Access type
openaccess
License Condition
CC BY
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633.93 KB
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Adobe PDF
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