Problem 1: Amat 584 abstract simplicial complex? Which of the following sets is an ansver For each of the answer is no, explain why; and if the is yes, give the dimension of the complexe sketch it's geometric realization up to homeomorphism, and compute its Euler characteristic, aj[o],[b], [a,b], [b,c]}, b. [a], [b],[c], [a, c] }, {[a], [b], [c], [ab], [bc], [0, c]},

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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Question
1
Problem 1:1
Amat 584
Which of the following sets is an obstract simplicial complex?
For each if
the
answer is no,
explain why; and if the
ansever
is yes, give the dimension of the complexe, stetch its geometric
realization
to homeomorphism, and compute its
ир
Euler characteristic,
a) [a], [b], [a,b], [b,c]},
b. [a], [b], [c], [a, c]},
4) { [a], [b], [c], [a,b], [bc], [0, <]},
Transcribed Image Text:Problem 1:1 Amat 584 Which of the following sets is an obstract simplicial complex? For each if the answer is no, explain why; and if the ansever is yes, give the dimension of the complexe, stetch its geometric realization to homeomorphism, and compute its ир Euler characteristic, a) [a], [b], [a,b], [b,c]}, b. [a], [b], [c], [a, c]}, 4) { [a], [b], [c], [a,b], [bc], [0, <]},
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