The article discusses political discourse as a communicative space of modern politics in the context of the anthropocentric paradigm. The following components of the political discourse have been outlined: the character of the subject and that of the addressee, genres of oral and written speech, the opposition of monologue and dialogue, the functions, the amount of information among the genres, the aim of speech.
In this work we define and study new concept of fibrewise topological spaces, namely fibrewise soft topological spaces, Also, we introduce the concepts of fibrewise closed soft topological spaces, fibrewise open soft topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces.