Let D be a domain and l be a closed line segment lying in D. In ele- mentary topology it is shown that l can be covered by a finite numbeir of open disks that lie in D and have their centers on l. Use this fact to prove that any two points of a domain D can be joined by a polygonal path in D having all its segments parallel to the coordinate axes.

# Let D be a domain and l be a closed line segment lying in D. In ele- mentary topology it is shown that l can be covered by a finite numbeir of open disks that lie in D and have their centers on l. Use this fact to prove that any two points of a domain D can be joined by a polygonal path in D having all its segments parallel to the coordinate axes.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 3CR

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