Current studies in cardinal functions

In this thesis, first of all, definitions and theorems related to set theory, ordinal numbers, cardinal numbers, cardinal functions are given. Then, some results in the literature regarding the density of the uniform convergence topology in the space of real-valued continuous functions on the Tychonoff space and the weight of the Cech-Stone compaction, modification of a Hausdorff space creates a limit for the weak Lindelöf number, the upper bounds of propagation, the Lindelöf number and the weak Lindelöf number of the topology G-delta on a topological space are given.