Preservation and reflection of properties acc and hacc
Bonanzinga, Maddalena
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 147-153 / Harvested from Czech Digital Mathematics Library
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The aim of the paper is to study the preservation and the reflection of acc and hacc spaces under various kinds of mappings. In particular, we show that acc and hacc are not preserved by perfect mappings and that acc is not reflected by closed (nor perfect) mappings while hacc is reflected by perfect mappings.

Publié le : 1996-01-01
Classification:  54D20,  54D30 
@article{118818,
     author = {Maddalena Bonanzinga},
     title = {Preservation and reflection of properties acc and hacc},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {147-153},
     zbl = {0917.54027},
     mrnumber = {1396166},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118818}
}

Bonanzinga, Maddalena. Preservation and reflection of properties acc and hacc. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 147-153. http://gdmltest.u-ga.fr/item/118818/

Arhangel'Skii A.V. Mappings and spaces (in Russian), Uspehi Mat. Nauk 21 (1966), No. 4, 133-184 English Translation: Russian Math. Sur. 21 (1966), No. 4, 115-162. (1966) | MR 0227950

Arhangel'Skii A.V.; Ponomarev V.I. Foundations of General Topology in Problems and Exercises (in Russian), Nauka, Moscow, 1974. | MR 0239550

Dugundji J. Topology, Allyn and Bacon, Inc., Boston London Sydney Toronto. | MR 0193606 | Zbl 0397.54003

Engelking R. General Topology, PWN, Warszawa, 1977. | MR 0500780 | Zbl 0684.54001

Matveev M.V. Absolutely countably compact spaces, Topology and Appl. 58 (1994), 81-92. (1994) | MR 1280711 | Zbl 0801.54021

Matveev M.V. A countably compact topological group which is not absolutely countably compact, Question and Answers 11 (1993), 173-176. (1993) | MR 1234212 | Zbl 0808.54025

Scott B.M. Towards a product theory for orthocompactness, Studies in Topology, eds. M. Stravrakas and K.R.Allen, Academic Press, Inc., New York, 1975, pp. 517-537. | MR 0372820

Van Douwen E.K.; Reed G.M.; Roscow A.W.; Tree I.J. Star covering properties, Topology and Appl. 39 (1991), 71-103. (1991) | MR 1103993

Vaughan J.E. Countably compact and sequentially compact spaces, in Handbook of Set-theoretic Topology, K.Kunen, J.E.Vaughan, eds., North-Holland, Amsterdam, 1984, pp. 569-602. | MR 0776631 | Zbl 0562.54031

Vaughan J.E. On the product of a compact space with an absolutely countably compact space, Commenationes Math. Univ. Carolinae, to appear. | MR 1460834 | Zbl 0917.54023