Recent content by lantern

Yeap. There is some stuff about this in the wiki article actually. Here it is again: http://en.wikipedia.org/wiki/Neighbourhood_%28mathematics%29#Topology_from_neighbourhoods

hmmmm well what i wrote down is the definition of neighbourhood given in the book I am trying to read. and it is also the definition given on this page http://en.wikipedia.org/wiki/Neighbourhood_%28mathematics%29 munkres topology book has the following definition/remarks: thank you for your...

Sorry this is a new subject to me so please bear with me. I'm having difficulty with two things First, we are talking about neighborhoods of arbitrary topological spaces. 'Invariance of domain' is a theorem about R^n. How does this theorem, which is restricted to R^n say anything about sets...

hey guys im trying to prove a fact. it is supposed to be really easy but I am having some trouble. this is it: http://en.wikipedia.org/wiki/Topological_manifold "It follows from invariance of domain that Euclidean neighborhoods are always open sets." Invariance of Domain -...