Algebraic and Geometric Topology 5 (2005), paper no. 69, pages 1711-1718.

Extensions of maps to the projective plane

Jerzy Dydak, Michael Levin

Abstract. It is proved that for a 3-dimensional compact metrizable space X the infinite real projective space is an absolute extensor of X if and only if the real projective plane is an absolute extensor of X.

Keywords. Cohomological and extensional dimensions, projective spaces

AMS subject classification. Primary: 55M10. Secondary: 54F45.

E-print: arXiv:math.GT/0410370

DOI: 10.2140/agt.2005.5.1711

Submitted: 1 June 2005. Accepted: 7 November 2005. Published: 7 December 2005.

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Jerzy Dydak, Michael Levin
Department of Mathematics, University of Tennessee
Knoxville, TN 37996-1300, USA
and
Department of Mathematics, Ben Gurion University of the Negev
P.O.B. 653, Be'er Sheva 84105, ISRAEL

Email: dydak@math.utk.edu, mlevine@math.bgu.ac.il
URL: http://www.math.utk.edu/~dydak

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