Mapping analytic sets onto cubes by little Lipschitz functions

Balogh, Z.M., Csörnyei, M.: Scaled-oscillation and regularity. Proc. Amer. Math. Soc. 134(9), 2667–2675 (2006)

Bartoszyński, T.: Additivity of measure implies additivity of category. Trans. Amer. Math. Soc. 281(1), 209–213 (1984)

Bartoszyński, T., Judah, H.: Set Theory. A K Peters, Wellesley (1995)

Buczolich, Z., Hanson, B.H., Rmoutil, H., Zürcher, T.: On sets where $${{\rm lip}}\,f$$ lip f is finite (2017). arXiv:1708.08220v1 (to appear in Studia Math.)

Edgar, G.A.: Packing measure in general metric space. Real Anal. Exchange 26(2), 831–852 (2000/2001)

Edgar, G.A.: Centered densities and fractal measures. New York J. Math. 13, 33–87 (2007)

Engelking, R.: General Topology. Sigma Series in Pure Mathematics, vol. 6, 2nd edn. Heldermann, Berlin (1989)

Falconer, K.J.: Fractal Geometry, 2nd edn. Wiley, Hoboken (2003)

Fremlin, D.H.: Measure Theory, vol. 5. Part I. Torres Fremlin, Colchester (2015)

Hanson, B.H.: Sets of non-differentiability for functions with finite lower scaled oscillation. Real Anal. Exchange 41(1), 87–99 (2016)

Hanson, B.H., Pierce, P., Zelený, M., Zindulka, O.: Dimension inequality for lower lipschitz mappings (in preparation)

Joyce, H., Preiss, D.: On the existence of subsets of finite positive packing measure. Mathematika 42(1), 15–24 (1995)

Kechris, A.S.: Classical Descriptive Set Theory. Graduate Texts in Mathematics, vol. 156. Springer, New York (1995)

Keleti, T.: A peculiar set in the plane constructed by Vituškin, Ivanov and Melnikov. Real Anal. Exchange 201, 291–312 (1994/1995)

Keleti, T., Máthé, A., Zindulka, O.: Hausdorff dimension of metric spaces and Lipschitz maps onto cubes. Int. Math. Res. Not. IMRN 2014(2), 289–302 (2014)

Mattila, P.: Geometry of Sets and Measures in Euclidean Spaces. Cambridge Studies in Advanced Mathematics, vol. 44. Cambridge University Press, Cambridge (1995)

Mendel, M., Naor, A.: Ultrametric subsets with large Hausdorff dimension. Invent. Math. 192(1), 1–54 (2013)

Milne, S.C.: Peano curves and smoothness of functions. Adv. Math. 35(2), 129–157 (1980)

Nekvinda, A., Zindulka, O.: Monotone metric spaces. Order 29(3), 545–558 (2012)

Vitushkin, A.G., Ivanov, L.D., Melnikov, M.S.: Incommensurability of the minimal linear measure with the length of a set. Dokl. Akad. Nauk SSSR 151, 1256–1259 (1963)

Zindulka, O.: Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. Fund. Math. 218(2), 95–119 (2012)