Geodesic
On the Calkin Algebra and the Covering Homotopy Property, II
Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 210-215

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For a separable Hilbert space is the algebra of bounded linear operators on is the ideal of compact operators, and Π is the natural map of onto the Calkin algebra . 
Conway, John B. On the Calkin Algebra and the Covering Homotopy Property, II. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 210-215. doi: 10.4153/CJM-1977-020-0
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