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Recent
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Volume 53
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Volume 52
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Volume 51
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Volume 50
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Volume 49
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Vietnam
Journal of Mathematics 38:3 (2010) 363-371
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Category of Noncommutative CW Complexes
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Do Ngoc Diep
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Abstract. We review the
notion of noncommutative CW (NCCW) complexes, define noncommutative (NC)
mapping cylinder and NC mapping cone, and prove a noncommutative
Approximation Theorem. We also formulate and derive a long exact homotopy
sequences associated with arbitrary morphisms.
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2000 Mathematics Subject Classification: 46L87, 58B34,
58B32.
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Keywords: Noncommutative geometry, C*-algebra,
noncommutative CW complex, noncommutative mapping cylinder, nonmommutative
mapping cone.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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