Density topology and pointwise convergence. (English) Zbl 1053.54026
Summary: We show that the space of all approximately continuous functions with the topology of pointwise convergence is not homeomorphic to its category analogue.
MSC:
| 54C35 | Function spaces in general topology |
| 54C30 | Real-valued functions in general topology |
| 26A15 | Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable |
