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Fernando Oliveira
Fernando Oliveira
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Can the infinite jungle gym surface be expressed by canonical exhaustionsan exhaustion of compact surfaces with one boundary component?

Is it possible to write the infinite jungle gym surface as the increasing union of compact surfaces whose boundaries consist of only one simple closed curve? I believe that this is true. It is well know that thisThis surface has only one end. Therefore the result should followfollows from the existence of canonical exhaustions (made of compact surfaces whose components of the complement have one boundary component) (as explained in Ahlfors-Sario book). If anyone could help me, I would like to "see" such a curve. Thanks.

Can the infinite jungle gym surface be expressed by canonical exhaustions?

Is it possible to write the infinite jungle gym surface as the increasing union of compact surfaces whose boundaries consist of only one simple closed curve? I believe that this is true. It is well know that this surface has only one end. Therefore the result should follow from the existence of canonical exhaustions (as explained in Ahlfors-Sario book). If anyone could help me, I would like to "see" such a curve. Thanks.

Can the infinite jungle gym surface be expressed by an exhaustion of compact surfaces with one boundary component?

Is it possible to write the infinite jungle gym surface as the increasing union of compact surfaces whose boundaries consist of only one simple closed curve? I believe that this is true. This surface has only one end. Therefore the result follows from the existence of canonical exhaustions (made of compact surfaces whose components of the complement have one boundary component) (as explained in Ahlfors-Sario book). If anyone could help me, I would like to "see" such a curve. Thanks.

Source Link
Fernando Oliveira
Fernando Oliveira
  • 37
  • 5

Can the infinite jungle gym surface be expressed by canonical exhaustions?

Is it possible to write the infinite jungle gym surface as the increasing union of compact surfaces whose boundaries consist of only one simple closed curve? I believe that this is true. It is well know that this surface has only one end. Therefore the result should follow from the existence of canonical exhaustions (as explained in Ahlfors-Sario book). If anyone could help me, I would like to "see" such a curve. Thanks.