Problem 3. Let A = (0,0), B = (1,0), C = (1,1), D= (0, 1). Say whether each of the following collections of simplices is a geometric simplicial complex. If the answer is no, explain your answer. If the answer is yes, sketch the geometric realization. a. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D]}, b. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [A, C, D]}, c. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [B, D], [A, C, D]},
Problem 3. Let A = (0,0), B = (1,0), C = (1,1), D= (0, 1). Say whether each of the following collections of simplices is a geometric simplicial complex. If the answer is no, explain your answer. If the answer is yes, sketch the geometric realization. a. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D]}, b. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [A, C, D]}, c. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [B, D], [A, C, D]},
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 3. Let
A = (0,0), B = (1,0), C = (1,1), D= (0, 1).
Say whether each of the following collections of simplices is a geometric simplicial
complex. If the answer is no, explain your answer. If the answer is yes, sketch
the geometric realization.
a. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D]},
b. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [A, C, D]},
c. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [B, D], [A, C, D]},
lib ddiw aoxs
-(00.0]
VIGLIC absc
oittomoog eti d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e25041d-7573-46df-b9d3-ec2dd7694c16%2Fa6df5114-9aa5-4441-8802-8eb7a3b3e55b%2Fs22gjr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3. Let
A = (0,0), B = (1,0), C = (1,1), D= (0, 1).
Say whether each of the following collections of simplices is a geometric simplicial
complex. If the answer is no, explain your answer. If the answer is yes, sketch
the geometric realization.
a. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D]},
b. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [A, C, D]},
c. T = {[A], [B], [C], [D], [A, B], [B, C], [C, D], [A, D], [A, C], [B, D], [A, C, D]},
lib ddiw aoxs
-(00.0]
VIGLIC absc
oittomoog eti d
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