\chapter{Topological Spaces} \label{chap:topological-spaces} \input{./definition.tex} \input{./filters.tex} \input{./nets.tex} \input{./neighbourhoods.tex} \input{./interiorclosureboundary.tex} \input{./continuity.tex} \input{./product.tex} \input{./hausdorff.tex} \input{./regular.tex} \input{./normal.tex} \input{./quotient.tex} \input{./connected.tex} \input{./path-connected.tex} \input{./local-path-connected.tex} \input{./unity.tex} \input{./compact.tex} \input{./sigma-compact.tex} \input{./para.tex} \input{./support.tex} \input{./lch.tex} \input{./c0.tex} \input{./semicontinuity.tex} \input{./baire.tex}