We define small n-Hawaiian loop as a special case of small pointed map, and study the group consisting o fclasses of small n-Hawaiian loops, H^sn( X;x_0 ) . As an example of spaces with non-trivial small 1-Hawaiian loops, we present 1 st Hawaiian group of harmonic archipelago space as a special quotient group of 1 st Hawaiian group of 1 -dimensional Hawaiian earring. We define whisker topology on nth Hawaiian group which is Hausdorff if and only if H s n( X;x) is trivial. We also prove that on metric spaces, nulhomotopies can become small enough if and only if natural homomorphism maps H n( X;x0 ) isomorphically on Ln( X;x0 ) if and only if H s n( X;x0 ) is trivial. Thus in spaces without non-trivial small n-Hawaiian loop, n-SLT paths transfer H n isomorphically along the points. We show that harmonic archipelago is an example with non-trivial small 1 -Hawaiian loop and non-isomorphic 1 st Hawaiian groups at two different points. Then we define n-SHLT paths which transfers nth Hawaiian group isomorphically along the points.

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