The Induced Topology and Its Dual
This chapter is mainly concerned with subspaces and quotient spaces. However, it often happens in mathematics that by taking a more general point of view one can see more clearly what is happening in a special case. We begin, therefore, by discussing the notion of induced topology before going on to embeddings and subspaces; likewise, we discuss the notion of coinduced topology before going on to quotient maps and quotient spaces.6
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