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.

Notes on file formats

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

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.