Theorem 1.21 Let (X,T) be a topological space and Y₁, Y2,,Yk, be a family of path connected subspaces of X. If Yi Yi+1 Ø, Vi = 1, 2,... then Y₁UY2U... UYU... is path connected.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
icon
Related questions
Question
\
Theorem 1.21 Let (X,T) be a topological space and Y₁, Y2, Yk, be a family of path
connected subspaces of X. If Yi Yi+1 ± Ø, Vi = 1, 2,... then Y₁UYU Yk
path connected.
.
"
UYU... is
Transcribed Image Text:\ Theorem 1.21 Let (X,T) be a topological space and Y₁, Y2, Yk, be a family of path connected subspaces of X. If Yi Yi+1 ± Ø, Vi = 1, 2,... then Y₁UYU Yk path connected. . " UYU... is
Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning