Selected publications

Papers and conference reports
Preprints and unpublished notes
Conference and other presentations
Textbooks

Papers and conference reports

(with Michael Hrusak, Tamas Matrai, Ales Nekvinda and Vaclav Vlasak) Properties of functions with monotone graphs. To appear. (pdf)
Small sets of reals through the prism of fractal dimensions. Submitted to Fund. Math. (pdf)
(with Petr Simon and Michael Hrusak) Weak partition properties on trees. (pdf)
(with Michael Hrusak) Cardinal invariants of monotone and porous sets. Submitted to JSL. (pdf)
(with Ales Nekvinda) A Cantor set in the plane that is not sigma-monotone. Submitted to Fund. Math. (pdf)
(with Ales Nekvinda) Monotone metric spaces. To appear in Order. (pdf)
Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps. Submitted to Fund. Math. (pdf)
Measures related to lower packing dimension and cartesian products. To appear.
Packing measures and cartesian products. Real Analysis Exchange 2008/9. (pdf)
Hausdorff dimension of X x X. Real Anal. Exchange 2006, 30th Summer Symposium Conference, p. 99.
How many translates of a small set are needed to cover the line? Real Anal. Exchange 2005, 29th Summer Symposium Conference, p. 39-43.
Polar sets and Hausdorff dimension in nonseparable spaces? Real Anal. Exchange 2004, 28th Summer Symposium Conference, p. 63-67.
Small opaque sets. Real Anal. Exchange 28 (2002/03), no. 2, 455-469.
Hentschel-Procaccia spectra in separable metric spaces. Summer Symposium in Real Analysis XXVI. Real Anal. Exchange 2002, 26th Summer Symposium Conference, p. 115-119.
(with Piotr Zakrzewski) Measures in locally compact groups are carried by meager sets. Journal of Applied Analysis 7 (2001), no. 2, p. 225-233.
A set that is fat and slim at the same time. Summer Symposium In Real Analysis XXIV, Denton 2000. Real Analysis Exchange (2001).
Dimension zero vs. measure zero. Proc. Amer. Math. Soc. 128 (2000), no. 6, p. 1769-1778.
Residual measures in locally compact spaces. Topology Appl. 108 (2000), no. 3, p. 253-265.
Multifractal spectra that are not spectra. Real Analysis Exchange 25 (2000), no. 1, p. 13-14
(with Jozef Bobok) Topological entropy on zero-dimensional spaces. Fund. Math. 162 (1999), no. 3, p. 233-249.
Killing residual measures. Journal of Applied Analysis 5 (1999), no. 2, p. 223-238.
A nowhere dense set is deeply nowhere dense. Questions and Answers in General Topology 17 (1999), no. 1, p. 89-90.
Yet a shorter proof of an inequality of Cutler and Olsen. Real Analysis Exchange 24 (1998/99), no. 2, p. 873-874.
Locally small measures are uniformly small. Collection of papers, Czech Technical University, Prague, 1998, p. 87-92.
A note on the Ramsey-type theorem of Erdos. Comment. Math. Univ. Carol. 31 (1990), no. 4, p. 765-767.

Preprints and unpublished notes

Universal measure zero sets with full Hausdorff dimension. (pdf)
Additivity and pathology of Hasdorff measures. (pdf)
Extending a metric over a G_δ-set. (pdf)
Hentschel-Procaccia spectra in separable metric spaces. (pdf)
Measures in metric spaces are carried by meager sets. (pdf)

Conference and other presentations

Every M-additive set is E-additive: Fractal geometry approach. Stara Lesna 2008.
Fractal dimensions vs. special sets of reals. Kielce 2008.
Fractal dimensions vs. small sets of reals. Chicago 2008.
Packing measures and cartesian products. Oxford 2007.
Packing dimensions and cartesian products. St Andrews 2007.
Packing dimensions and cartesian products. Glasgow 2007.
Packing dimensions and cartesian products. Milton Keynes 2007.
Around Hausdorff dimension of X x X. Asheville 2006.
How many translates of a small set are needed to cover the line? Winter School Lhota 2006.
How many translates of a small set are needed to cover the line? Walla Walla 2005.
Polar sets and Hausdorff dimension in nonseparable spaces? Slippery Rock 2004.
Multifractal spectra in separable metric spaces. Prague 2003.
Universal measure zero sets with full Hausdorff dimension. Opava 2003.

Textbooks

Matematika 3. Czech Technical University, Prague, 2007, 155 pages, in Czech.
(with F. Bubeník) Matematika 1. Czech Technical University, Prague, 2005, 159 pages, in Czech.
Funkce více proměnných. Department of Mathematics, Czech Technical University, Prague, 2004, 27 pages, in Czech.
Vektorová pole. Czech Technical University, Prague, 1999, 72 pages, in Czech, ISBN 80-01-02075-4.