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Can anyone tell me what is the essential difference between planar sub-compactumcontinua and sub-compactum oncontinua of the torus? I will appreciate if you can give me some references.

Can anyone tell me what is the essential difference between planar sub-compactum and sub-compactum on the torus? I will appreciate if you can give me some references.

Can anyone tell me what is the essential difference between planar sub-continua and sub-continua of the torus? I will appreciate if you can give me some references.

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Difference between planar sub-continua and sub-continua on the surface $\mathbb{T}^2$?

Can anyone tell me what is the essential difference between planar sub-compactum and sub-compactum on the torus? I will appreciate if you can give me some references.