## Dániel T. Soukup, Lajos Soukup*

*Partitioning bases of topological spaces*

Comment.Math.Univ.Carolin. 55,4 (2014) 537-566.**Abstract:**We investigate whether an arbitrary base for a dense-in-itself topological space can be partitioned into two bases. We prove that every base for a $T_3$ Lindel\"of topology can be partitioned into two bases while there exists a consistent example of a first-countable, 0-dimensional, Hausdorff space of size $2^\omega $ and weight $\omega_1$ which admits a point countable base without a partition to two bases.

**Keywords:** base; resolvable; partition

**AMS Subject Classification:** 54A35 03E35 54A25

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