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fixed repeated typo, added tag
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YCor
YCor
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Is the connected sum of a trianguabletriangulable manifold with a non-trianguabletriangulable manifold a non-trianguabletriangulable manifold?

Let $M,N$ be topological manifolds such that $M$ does not admit a $PL$ structure and $N$ does. Is $M\#N$ still a trianguabletriangulable manifold?

Is the connected sum of a trianguable manifold with a non-trianguable manifold a non-trianguable manifold?

Let $M,N$ be topological manifolds such that $M$ does not admit a $PL$ structure and $N$ does. Is $M\#N$ still a trianguable manifold?

Is the connected sum of a triangulable manifold with a non-triangulable manifold a non-triangulable manifold?

Let $M,N$ be topological manifolds such that $M$ does not admit a $PL$ structure and $N$ does. Is $M\#N$ still a triangulable manifold?

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YYY
YYY
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Is the connected sum of a trianguable manifold with a non-trianguable manifold a non-trianguable manifold?

Let $M,N$ be topological manifolds such that $M$ does not admit a $PL$ structure and $N$ does. Is $M\#N$ still a trianguable manifold?