It is currently Mon Sep 16, 2019 4:57 am

 Board index All times are UTC [ DST ]

 Search found 2 matches Search these results:

Author Message

Forum: General Topology   Topic: Continuous map

 Post subject: Re: Continuous map Posted: Sat Nov 12, 2016 9:08 pm

Replies: 2
Views: 1280

 We suppose that $x_{n}\rightarrow x_{0}$. The set $\left \{ x_{1},x_{2},.... \right.\left. \right \}\cup \left \{ x_{0} \right.\left.\right \}$ is compact and from the hypothesis(the restriction of f in every compact set is continuous) we obtain that $f(x_{n})\rightarrow f(x_{0})$. So the proof h...

Forum: Number theory   Topic: Subset of natural numbers

 Post subject: Re: Subset of natural numbers Posted: Sat Nov 12, 2016 4:50 pm

Replies: 2
Views: 1309

 Suppose that is no $n\in \mathbb{N}$, n>1 which divides every element of S. Then there exist $a,b\in S$ with (a,b)=1. It is trivial to prove that for every $k,l\in \mathbb{N}$, $ka+lb\in S$. Let q>ab. Then if (k,l) solution of the equation ka+lb=q (1) there is either k>b or l>a.(2) Also we notic...
Sort by:
[ Search found 2 matches ]

 Board index All times are UTC [ DST ]

 Jump to:  Select a forum ------------------ Algebra    Linear Algebra    Algebraic Structures    Homological Algebra Analysis    Real Analysis    Complex Analysis    Calculus    Multivariate Calculus    Functional Analysis    Measure and Integration Theory Geometry    Euclidean Geometry    Analytic Geometry    Projective Geometry, Solid Geometry    Differential Geometry Topology    General Topology    Algebraic Topology Category theory Algebraic Geometry Number theory Differential Equations    ODE    PDE Probability & Statistics Combinatorics General Mathematics Foundation Competitions Archives LaTeX    LaTeX & Mathjax    LaTeX code testings Meta