This will be the second edition of a conference that took place in Będlewo in July 2013. Similarly as before, our aim is to bring together scientists from all over the world working in various fields of applied topology, including:

• topological robotics,
• topological methods in combinatorics,
• random topology,

as well as topological data analysis, with emphasis on:

• neurotopology,
• materials analysis,
• computational geometry, and
• multidimensional persistence.