No proof of P=NP after all (yet?)

Diagram of complexity classes provided that P ...

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Vladimir Romanov has conceded that his published “proof” of P=NP is flawed and requires further work.

So, it seems internet commerce is safe for now. But Romanov is not throwing in the towel:

Thank you for your attention to my work. You’d better suspend your investigations.
A shortcoming possibly exists in the filtration procedure which requires an amendment.

A book to buy? P, NP, and NP-Completeness: The Basics of Computational Complexity – I admit to being tempted.

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