Absolute neighborhood retracts and local connectedness in arbitrary metric spaces

J. Dugundji

Compositio Mathematica (1956-1958)

  • Volume: 13, page 229-246
  • ISSN: 0010-437X

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Dugundji, J.. "Absolute neighborhood retracts and local connectedness in arbitrary metric spaces." Compositio Mathematica 13 (1956-1958): 229-246. <http://eudml.org/doc/88837>.

@article{Dugundji1956-1958,
author = {Dugundji, J.},
journal = {Compositio Mathematica},
keywords = {topology},
language = {eng},
pages = {229-246},
publisher = {Kraus Reprint},
title = {Absolute neighborhood retracts and local connectedness in arbitrary metric spaces},
url = {http://eudml.org/doc/88837},
volume = {13},
year = {1956-1958},
}

TY - JOUR
AU - Dugundji, J.
TI - Absolute neighborhood retracts and local connectedness in arbitrary metric spaces
JO - Compositio Mathematica
PY - 1956-1958
PB - Kraus Reprint
VL - 13
SP - 229
EP - 246
LA - eng
KW - topology
UR - http://eudml.org/doc/88837
ER -

References

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  1. P. Alexandroff & H. Hopf, [1] Topologie I, Springer, Berlin, 1935. Zbl0013.07904
  2. K. Borsuk, [2] Sur un espace localement contractible qui n'est pas un rétracte absolu de voisinage, Fund. Math.35 (1948) 175. Zbl0032.12302MR27498
  3. J. Dugundji, [3] Note on CW polytopes, Port. Math.11 (1952) 7—10b. Zbl0046.16404
  4. J. Dugundji, [4] An extension of Tietze's theorem, Pacific Journ. Math.1 (1951) 353—367. Zbl0043.38105
  5. S. Eilenberg, [5] Cohomology and continuous mappings, Ann. Math.41 (1940) 231—251. Zbl0022.40701JFM66.0951.02
  6. O. Hanner, [6] Retraction and extension of mappings of metric and non-metric spaces, Ark. f. Math.2 (1952) 315-360. Zbl0048.41002MR50875
  7. W. Hurewicz & H. Wallman, [7] Dimension theory, Princeton Univ. Press, Princeton, 1941. Zbl0060.39808MR6493
  8. C. Kuratowski, [8] Topologie I, Monografje Matematyczne, Warszawa, 1948. [9] Ibidem, Topologie II. MR28007
  9. C. Kuratowski, [10] Sur les espaces localement connexes et péaniens en dimension n, Fund. Math.24 (1935) 269—287. Zbl0011.04002JFM61.1365.02
  10. C. Kuratowski, [11] Quelques problèmes concernant les espaces métriques non séparables Fund. Math.25 (1935) 543. Zbl0012.32103JFM61.0221.02
  11. S. Lefschetz, [12] Algebraic Topology, Amer. Math. Soc. Coll. Pubs., v. 27, Amer. Math. Soc., New York, 1942. Zbl0061.39302
  12. K. Morita, [13] On the dimension of normal spaces, I & II, Jap. Journ. Math. Soc.20 (1950) 1-33. Zbl0041.31704MR45374
  13. N. Steenrod, [14] The Topology of Fiber Bundles, Princeton Univ. PressPrinceton, 1951 Zbl0054.07103MR39258
  14. A.H. Stone, [15] Paracompactness and product spaces, Bull. Am. Math. Soc.54 (1948) 969—977. Zbl0032.31403
  15. J.W. Tukey, [16] Convergence and uniformity in topology, Princeton Univ. Press, Princeton, 1940. Zbl0025.09102MR2515JFM66.0961.01
  16. J.H.C. Whitehead, [17] Simplicial spaces, Nuclei, and m-groups, Pro. Lond. Math. Soc.45 (1939) 243—327. Zbl0022.40702JFM65.1443.01
  17. M. Wodjyslawski, [18] Rétractes absolus et hyperespaces des continus, Fund. Math.32, (1939) 184-192. Zbl0021.36001JFM65.0880.03

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