Let P be a homogenous polynomial with real coefficients in several variable(at least three variable) Is the following statement true: For every $\epsilon$ there is a $\delta$ such that for every x with $|F(x)|< \delta$ we have $d(x,Z)<\epsilon$. Z is the set roots of "F=0" d is the standard distance

Let $P$ be a homogenous polynomial with real coefficients in several variable(at least three variable) Is the following statement true:

For every $\epsilon$ there is a $\delta$ such that for every x with $|P(x)|< \delta$ we have $d(x,Z)<\epsilon$.

Here $Z=P^{-1}(\{0\})$ is the set of roots of $P$, and $d$ is the standard .distance

Let P be a polynomial with real coefficients in several variable(at least three variable) Is the following statement true: For every $\epsilon$ there is a $\delta$ such that for every x with $|F(x)|< \delta$ we have $d(x,Z)<\epsilon$. Z is the of 0

Let P be a homogenous polynomial with real coefficients in several variable(at least three variable) Is the following statement true: For every $\epsilon$ there is a $\delta$ such that for every x with $|F(x)|< \delta$ we have $d(x,Z)<\epsilon$. Z is the set roots of "F=0" d is the standard distance

Let P be a polynomial with real coefficients in several variable(at least three variable) Is the following statement true: For every \epsilon there is a \delta such that for every x with |F(x)|< \delta we have d(x,Z)<\epsilon. Z is the of 0

Let P be a polynomial with real coefficients in several variable(at least three variable) Is the following statement true: For every $\epsilon$ there is a $\delta$ such that for every x with $|F(x)|< \delta$ we have $d(x,Z)<\epsilon$. Z is the of 0