Extensions of maps to the projective plane

It is proved that for a $3$ –dimensional compact metrizable space $X$ the infinite real projective space $ℝ P^{\infty}$ is an absolute extensor of $X$ if and only if the real projective plane $ℝ P^{2}$ is an absolute extensor of $X$ (see Theorems 1.2 and 1.5).

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Keywords

cohomological, extensional dimensions, projective spaces

Mathematical Subject Classification 2000

Primary: 55M10

Secondary: 54F45

References

Forward citations

Publication

Received: 1 June 2005

Accepted: 7 November 2005

Published: 7 December 2005

Authors

Jerzy Dydak
Department of Mathematics University of Tennessee Knoxville TN 37996-1300 USA
http://www.math.utk.edu/~dydak/
Michael Levin
Department of Mathematics Ben Gurion University of the Negev P.O.B. 653 Be’er Sheva 84105 Israel

Volume 5, issue 4 (2005)

Jerzy Dydak and Michael Levin

Abstract