Algebrability within the class of Baire 1 functions

作者：Lindner Sebastian^*; Terepeta Magorzata

来源：Lithuanian Mathematical Journal, 2015, 55(3): 393-401.

DOI：10.1007/s10986-015-9287-7

• algebrability
• strong algebrability
• Baire hierarchy
• approximately continuous function
• psi-density topology
• < s > -density topology

It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly -algebrable. We show that between those classes of functions there are many strongly -algebrable sets.