This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Rebecca Jones MATH 5220 PS2 Problem 1: Reflexivity . 1 1 1 1 reflexive is x x b x x a that such b and a x x x x n n ≈ ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ Symmetry x x x x b x x a that such a b b a x a x x b x x b x x a x x x b x x a x x b x x a that such b a x x x x Let n n n n n = ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ ⇔ ℜ ∈ 2200 ≥ ≥ ⇔ ℜ ∈ 2200 ≤ ≤ ⇔ ℜ ∈ 2200 ≤ ≤ 5 ⇔ ≈ ≈ * * 1 , 1 * * * 1 * * , * . * 2 2 1 2 1 2 1 1 1 1 1 1 1 1 So, is symmetric ≈ Transitivity Let * * * * x x and x x ≈ ≈ * * * * * * , * * * * * * * * * * * * * * * * * * * * * , * * , * * * * 3 3 2 1 3 2 1 3 2 1 1 1 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 1 1 1 x x x x b x x a that such b b b a a a x x b b x b x x a x a a x x b x x a and x b b x b and x a x a a x x b x x a that such b a and x x b x x a that such b a x x and x x n n n n n ≈ ⇔ ℜ ∈ 2200 ≤ ≤ = = 5 ⇔ ℜ ∈ 2200 ≤ ≤ ≤ ≤ ⇔ ℜ ∈ 2200 ≤ ≤ ≤ ≤ ⇔ ℜ ∈ 2200...
View
Full
Document
This note was uploaded on 09/15/2009 for the course MATH 5220 taught by Professor Ealy during the Spring '09 term at Western Michigan.
 Spring '09
 Ealy
 Math, Topology

Click to edit the document details