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 T3.5 iff Factor Spaces are T3.5

Indiscrete Space is Pseudometrizable

Factor Spaces are T5 if Product Space is T5