Geodesic
Extensions of maps to the projective plane
Dydak, Jerzy1 ; Levin, Michael2
1Department of Mathematics, University of Tennessee, Knoxville TN 37996-1300, USA
2Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, Israel
Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1711-1718
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It is proved that for a 3–dimensional compact metrizable space X the infinite real projective space ℝP∞ is an absolute extensor of X if and only if the real projective plane ℝP2 is an absolute extensor of X (see Theorems 1.2 and 1.5).

DOI : 10.2140/agt.2005.5.1711
Keywords: cohomological, extensional dimensions, projective spaces

Dydak, Jerzy  1   ; Levin, Michael  2

1 Department of Mathematics, University of Tennessee, Knoxville TN 37996-1300, USA
2 Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, Israel 
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Dydak, Jerzy; Levin, Michael. Extensions of maps to the projective plane. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1711-1718. doi: 10.2140/agt.2005.5.1711

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[2] M Cencelj, A N Dranishnikov, Extension of maps into nilpotent spaces III, Topology Appl. 153 (2005) 208

[3] A N Dranishnikov, On a problem of P. S. Aleksandrov, Mat. Sb. $($N.S.$)$ 135(177) (1988) 551, 560

[4] A N Dranishnikov, Extension of mappings into CW-complexes, Mat. Sb. 182 (1991) 1300

[5] A N Dranishnikov, Cohomological dimension theory of compact metric spaces, Topology Atlas 6 (2001) 7

[6] M Levin, Some examples in cohomological dimension theory, Pacific J. Math. 202 (2002) 371

[7] G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978)

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