User:JSchoone

Welcome to my Userpage
I am a Dutch (Pure) Mathematics student, in my fourth year.

My favourite area at the moment is Topology. Previously it has been Set Theory and Algebra.

My current contributions
Articles:

Intersection of Topologies is Topology

Union of Topologies is not necessarily Topology

Union of Topologies on Singleton or Doubleton is Topology

Product Space is Path-connected iff Factor Spaces are Path-connected

Function to Product Space is Continuous iff Composition with Projections are Continuous

Proofs:

T5 Space iff Every Subspace is T4

Principle of Finite Choice

Product Space is T3 1/2 iff Factor Spaces are T3 1/2

Indiscrete Space is Pseudometrizable

Factor Spaces are T5 if Product Space is T5