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View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix To E S', and let X = (S' × S')U (D² × {ro}). Compute H„(X) for all n. [Note: All these spaces are sufficiently nice that Mayer-Vietoris applies.]

View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix To E S', and let X = (S' × S')U (D² × {ro}). Compute H„(X) for all n. [Note: All these spaces are sufficiently nice that Mayer-Vietoris applies.]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix xo € S', and let X = (S' × S') U (D² × {xo}). Compute H,(X) for all n. [Note: All these spaces are sufficiently nice that Mayer-Vietoris applies.]
Transcribed Image Text:View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix xo € S', and let X = (S' × S') U (D² × {xo}). Compute H,(X) for all n. [Note: All these spaces are sufficiently nice that Mayer-Vietoris applies.]
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