Retracts of the Sorgenfrey line

Eric K. Van Douwen

Compositio Mathematica (1979)

  • Volume: 38, Issue: 2, page 155-161
  • ISSN: 0010-437X

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Van Douwen, Eric K.. "Retracts of the Sorgenfrey line." Compositio Mathematica 38.2 (1979): 155-161. <http://eudml.org/doc/89399>.

@article{VanDouwen1979,
author = {Van Douwen, Eric K.},
journal = {Compositio Mathematica},
keywords = {Sorgenfrey line; Alexandroff double arrow space; strongly and hereditarily rectifiable spaces},
language = {eng},
number = {2},
pages = {155-161},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Retracts of the Sorgenfrey line},
url = {http://eudml.org/doc/89399},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Van Douwen, Eric K.
TI - Retracts of the Sorgenfrey line
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 2
SP - 155
EP - 161
LA - eng
KW - Sorgenfrey line; Alexandroff double arrow space; strongly and hereditarily rectifiable spaces
UR - http://eudml.org/doc/89399
ER -

References

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  1. [1] P. Alexandroff and P. Urysohn: Mémoire sur les espaces topologiques compacts, Verhandelingen der Koninklijke Akademie van Wetenschappen, Afdeeling Natuurkunde, Sectie 1, 14 (1924) 1-96. JFM55.0960.02
  2. [2] E.K. Van Douwen: "Simultaneous, extension of continuous functions." Unpublished thesis. Amsterdam (1975). Zbl0309.54013
  3. [3] E.K. Van Douwen: Simultaneous linear extension of continuous functions, Gen. Top. Appl., 5 (1975) 297-319. Zbl0309.54013MR380715
  4. [4] R. Engelking: On closed images of the space of irrationals, Proc. AMS, 21 (1969) 583-586. Zbl0177.25501MR239571
  5. [5] R.W. Heath and D.J. Lutzer: Dugundji extension theorems for linearly ordered spaces, Pacific J. M., 55 (1974) 419-425. Zbl0302.54017MR370477
  6. [6] R.W. Heath and D.J. Lutzer: The Dugundji extension property and collection-wise normality, Bull. Acad. Polon. Sci. Ser. Math. Astronom. Phys., 22 (1974) 827-830. Zbl0297.54013MR375228
  7. [7] R.W. Heath, D.J. Lutzer and P.L. Zenor: On continuous extenders. Studies in topology, ed. by N.M. Stavras and K.R. Allen (1975). Zbl0312.54021MR358675
  8. [8] P. Nyikos and H.-C. Reichel: On the structure of zero-dimensional spaces, Indag. Math., 37 (1975) 120-136. Zbl0314.54038MR365527
  9. [9] W. Sierpiński: Sur les projections des ensembles complémentaires aux ensembles (A), Fund. Math., 11 (1928) 107-113. Zbl54.0093.03JFM54.0093.03

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