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math.AT2006
Some new immersion results for complex projective space
Donald M. Davis
We prove the following two new optimal immersion results for complex projective space. First, if n equiv 3 mod 8 but n not equiv 3 mod 64, and alpha(n)=7, then CP^n can be immersed…
math.AT2006
Odd-primary homotopy exponents of compact simple Lie groups
Donald M Davis, Stephen D Theriault
We note that a recent result of the second author yields upper bounds for odd-primary homotopy exponents of compact simple Lie groups which are often quite close to the lower bound…