2 Added "important" technical side-condition.
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[...] the structure formerly known as the Polynomial Hierarchy collapses to the level above $\text{P}=\text{NP}$.

This claim makes no sense. If $\text{P}=\text{NP}$, then the whole polynomial hierarchy is equal to $\text{P}$ and there is no level above that.

That is, we show that $\text{co-NP}\subseteq\text{NP}\setminus{P}$.

$\text{co-NP}\subseteq\text{NP}\setminus{P}$ is unconditionally false, since $\text{P}\subseteq\text{co-NP}$ (and $\mathrm{P}\neq\emptyset)$.

I wouldn't recommend spending any time on this paper.

[...] the structure formerly known as the Polynomial Hierarchy collapses to the level above $\text{P}=\text{NP}$.

This claim makes no sense. If $\text{P}=\text{NP}$, then the whole polynomial hierarchy is equal to $\text{P}$ and there is no level above that.

That is, we show that $\text{co-NP}\subseteq\text{NP}\setminus{P}$.

$\text{co-NP}\subseteq\text{NP}\setminus{P}$ is unconditionally false, since $\text{P}\subseteq\text{co-NP}$.

I wouldn't recommend spending any time on this paper.

[...] the structure formerly known as the Polynomial Hierarchy collapses to the level above $\text{P}=\text{NP}$.

This claim makes no sense. If $\text{P}=\text{NP}$, then the whole polynomial hierarchy is equal to $\text{P}$ and there is no level above that.

That is, we show that $\text{co-NP}\subseteq\text{NP}\setminus{P}$.

$\text{co-NP}\subseteq\text{NP}\setminus{P}$ is unconditionally false, since $\text{P}\subseteq\text{co-NP}$ (and $\mathrm{P}\neq\emptyset)$.

I wouldn't recommend spending any time on this paper.

1
source | link

[...] the structure formerly known as the Polynomial Hierarchy collapses to the level above $\text{P}=\text{NP}$.

This claim makes no sense. If $\text{P}=\text{NP}$, then the whole polynomial hierarchy is equal to $\text{P}$ and there is no level above that.

That is, we show that $\text{co-NP}\subseteq\text{NP}\setminus{P}$.

$\text{co-NP}\subseteq\text{NP}\setminus{P}$ is unconditionally false, since $\text{P}\subseteq\text{co-NP}$.

I wouldn't recommend spending any time on this paper.