Cleavability and divisibility over developable spaces

Filippo Cammaroto

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 4, page 791-796
  • ISSN: 0010-2628

Abstract

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Some results on cleavability theory are presented. We also show some new [16]'s results.

How to cite

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Cammaroto, Filippo. "Cleavability and divisibility over developable spaces." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 791-796. <http://eudml.org/doc/247867>.

@article{Cammaroto1996,
abstract = {Some results on cleavability theory are presented. We also show some new [16]'s results.},
author = {Cammaroto, Filippo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cleavable space; developable space; subdevelopable space; $D$-regular space; $D$-completely regular space; $D$-compact space; $D$-normal space; divisible space; cleavable space; developable space; subdevelopable space; -regular space; -completely regular space; -compact space; -normal space; divisible space},
language = {eng},
number = {4},
pages = {791-796},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cleavability and divisibility over developable spaces},
url = {http://eudml.org/doc/247867},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Cammaroto, Filippo
TI - Cleavability and divisibility over developable spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 4
SP - 791
EP - 796
AB - Some results on cleavability theory are presented. We also show some new [16]'s results.
LA - eng
KW - cleavable space; developable space; subdevelopable space; $D$-regular space; $D$-completely regular space; $D$-compact space; $D$-normal space; divisible space; cleavable space; developable space; subdevelopable space; -regular space; -completely regular space; -compact space; -normal space; divisible space
UR - http://eudml.org/doc/247867
ER -

References

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  1. Arhangel'skii A.V., A general concept of splittability of topological spaces (in Russian), Abstract Tira. Symp. (1985), Štiinca Kišinev, 1985, pp.8-10. 
  2. Arhangel'skii A.V., Some new trends in the theory of continuous mapping (in Russian), In: Continuous functions on topological spaces, LGU, Riga, 1986, pp.5-35. 
  3. Arhangel'skii A.V., Some problems and lines of investigation in general topology, Comment. Math. Univ. Carolinae 29 (1988), 611-629. (1988) MR0982780
  4. Arhangel'skii A.V., A survey on cleavability, to appear. 
  5. Arhangel'skii A.V., Cammaroto F., On different types of cleavability of topological spaces: pointwise, closed, open and pseudoopen, J. Aust. Math. Soc. (Ser. A) 57 (1995), 1-17. (1995) MR1323990
  6. Arhangel'skii A.V., Kočinac Lj., Concerning splittability and perfect mapping, Publ. Inst. Math. (Beograd) 47 (61) (1990), 127-131. (1990) MR1103539
  7. Arhangel'skii A.V., Shakhmatov D.B., On pointwise approximation of arbitrary functions by countable collections of continuous functions, Jour. of Soviet Math. 50.2 (1990), 1497-1511. Translated from Trudy Seminara imeni I.G. Petrovskogo 13 (1988), 206-227. (1990) MR0961436
  8. Bella A., Cammaroto F., Kočinac Lj., Remarks on splittability of topological spaces, Q and A in General Topology 9 (1991), 89-99. (1991) MR1088451
  9. Brandenburg H., Separation axioms, covering properties and inverse limits generated by developable spaces, Dissertationes Math. 184 (1989), 88. (1989) MR1048979
  10. Cammaroto F., On D -completely regular spaces, Supl. Rend. Circ. Mat. Palermo, Ser.II 24 (1990), 35-50. (1990) Zbl0752.54010MR1108197
  11. Cammaroto F., On splittability of topological spaces, Proc. Brasil Topological Conference, 1990. Zbl0716.54020
  12. Heldermann N.C., Developability and some new regularity axioms, Can. J. Math. 33 (1981), 641-663. (1981) Zbl0419.54006MR0627648
  13. Kočinac Lj., Perfect 𝒫 -splittability of topological spaces, Zbornik rad. Fil. Fak. (Nis), Ser. Math. 3 (1989), 9-12. (1989) MR1017632
  14. Kočinac Lj., Cleavability and divisibility of topological spaces, Atti Acc. Pel. dei Pericolanti (Messina) 70 (1992), 1-16. (1992) MR1291473
  15. Kočinac Lj., Cammaroto F., Bella A., Some results on splittability of topological spaces, Atti Acc. Pel. dei Pericolanti (Messina) 68 (1990), 41-60. (1990) MR1170648
  16. Kočinac Lj., Cammaroto F., Developable spaces and cleavability, to appear on Rend. Mat. Univ. Roma, 1995. MR1312822

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