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Amir Sagiv
Amir Sagiv
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I was reading thisthis book by Coorneart, Delzant, and Papadopoulos. I am stuck with this proposition in Chapter 1 (Proposition 1.5)

If $Y$ is a bounded $\delta$-hyperbolic subset of $X$, then $X$ is $\delta'$-hyperbolic with $\delta' = \delta + 6 \eta$ where $\eta = \sup_{x \in X} \operatorname{dist}(x,Y)$.

The authors have not given proof of the proposition. I have tried using the $\delta$-hyperbolicity condition of $Y$ but I am getting stuck. Please help.

I was reading this book by Coorneart Delzant and Papadopoulos. I am stuck with this proposition in Chapter 1 (Proposition 1.5)

If $Y$ is a bounded $\delta$-hyperbolic subset of $X$, then $X$ is $\delta'$-hyperbolic with $\delta' = \delta + 6 \eta$ where $\eta = \sup_{x \in X} \operatorname{dist}(x,Y)$.

The authors have not given proof of the proposition. I have tried using the $\delta$-hyperbolicity condition of $Y$ but I am getting stuck. Please help.

I was reading this book by Coorneart, Delzant, and Papadopoulos. I am stuck with this proposition in Chapter 1 (Proposition 1.5)

If $Y$ is a bounded $\delta$-hyperbolic subset of $X$, then $X$ is $\delta'$-hyperbolic with $\delta' = \delta + 6 \eta$ where $\eta = \sup_{x \in X} \operatorname{dist}(x,Y)$.

The authors have not given proof of the proposition. I have tried using the $\delta$-hyperbolicity condition of $Y$ but I am getting stuck. Please help.

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YCor
YCor
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Bounded subsets of$\ \delta$of $\delta$-hyperbolic metric spaces

I was reading this book by Coorneart Delzant and Papadopoulos. I am stuck with this proposition in Chapter 1  (Proposition 1.5)

If Y is a bounded$\ \delta$-hyperbolic subset of X, then X is$\ \delta'$-hyperbolic with$\ \delta' = \delta + 6 \eta$ where$\ \eta = \sup_{x \in X} dist(x,Y)$

If $Y$ is a bounded $\delta$-hyperbolic subset of $X$, then $X$ is $\delta'$-hyperbolic with $\delta' = \delta + 6 \eta$ where $\eta = \sup_{x \in X} \operatorname{dist}(x,Y)$.

The authors have not given proof of the proposition. I have tried using the $\ \delta$$\delta$-hyperbolicity condition of Y$Y$ but I am getting stuck. Please help.

Bounded subsets of$\ \delta$-hyperbolic metric spaces

I was reading this book by Coorneart Delzant and Papadopoulos. I am stuck with this proposition in Chapter 1(Proposition 1.5)

If Y is a bounded$\ \delta$-hyperbolic subset of X, then X is$\ \delta'$-hyperbolic with$\ \delta' = \delta + 6 \eta$ where$\ \eta = \sup_{x \in X} dist(x,Y)$

The authors have not given proof of the proposition. I have tried using the $\ \delta$-hyperbolicity condition of Y but I am getting stuck. Please help.

Bounded subsets of $\delta$-hyperbolic metric spaces

I was reading this book by Coorneart Delzant and Papadopoulos. I am stuck with this proposition in Chapter 1  (Proposition 1.5)

If $Y$ is a bounded $\delta$-hyperbolic subset of $X$, then $X$ is $\delta'$-hyperbolic with $\delta' = \delta + 6 \eta$ where $\eta = \sup_{x \in X} \operatorname{dist}(x,Y)$.

The authors have not given proof of the proposition. I have tried using the $\delta$-hyperbolicity condition of $Y$ but I am getting stuck. Please help.

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Alex George
Alex George
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Bounded subsets of$\ \delta$-hyperbolic metric spaces

I was reading this book by Coorneart Delzant and Papadopoulos. I am stuck with this proposition in Chapter 1(Proposition 1.5)

If Y is a bounded$\ \delta$-hyperbolic subset of X, then X is$\ \delta'$-hyperbolic with$\ \delta' = \delta + 6 \eta$ where$\ \eta = \sup_{x \in X} dist(x,Y)$

The authors have not given proof of the proposition. I have tried using the $\ \delta$-hyperbolicity condition of Y but I am getting stuck. Please help.