View source for Asymmetric variety

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An oriented variety $M$ without an orientation-reversing homeomorphism. Thus, for instance, the complex projective plane is an asymmetric variety, since the self-intersection of the complex straight line is $+1$ or $-1$, depending on the orientation. Certain knots can differ from their mirror image owing to the fact that their branched coverings are asymmetric varieties.



====Comments====
This notion can be found, e.g., in [[#References|[a1]]], Chapt. 5.

====References====
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|valign="top"|{{Ref|Hi}}||valign="top"|M.W. Hirsch, "Differential topology", Springer (1976) {{MR|0448362}} {{ZBL|0356.57001}}
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