Projective topological spaces

Topological K-theory of Complex Projective Spaces

We compute the K-theory of complex projective spaces. There are three major ingredients: the exact sequence of K-groups, the theory of Chern character and the Bott Periodicity Theorem.

Topological robotics: motion planning in projective spaces

In this paper we study one of the most elementary problems of the topological robotics: rotation of a line, which is fixed by a revolving joint at a base point: one wants to bring the line from its initial position A to a final position B by a continuous motion in the space. The final goal is to construct a motion planning algorithm which will perform this task once the initial position A and t...

Projective limits of topological vector spaces

Symmetric topological complexity of projective and lens spaces

For real projective spaces, (a) the Euclidean immersion dimension, (b) the existence of axial maps, and (c) the topological complexity are known to be three facets of the same problem. This paper describes the corresponding relationship between the symmetrized versions of (b) and (c) to the Euclidean embedding dimension of projective spaces. Extensions to the case of 2e torsion lens spaces and ...

Biquaternions Lie Algebra and Complex-Projective Spaces

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