3. Complex Projective Spaces in The Topological Category
The complex projective space is a -dimensional topological manifold with . In addition it is known that in the case in the topological category the surgery obstruction map is always surjective. Hence we have
From the work of Sullivan one can calculate
- and hence
Read more about this topic: Surgery Exact Sequence, Examples
Famous quotes containing the words complex, spaces and/or category:
“By “object” is meant some element in the complex whole that is defined in abstraction from the whole of which it is a distinction.”
—John Dewey (1859–1952)
“We should read history as little critically as we consider the landscape, and be more interested by the atmospheric tints and various lights and shades which the intervening spaces create than by its groundwork and composition.”
—Henry David Thoreau (1817–1862)
“The truth is, no matter how trying they become, babies two and under don’t have the ability to make moral choices, so they can’t be “bad.” That category only exists in the adult mind.”
—Anne Cassidy (20th century)