Proprietà topologiche e topologie iniziali

Eraldo Giuli; Alberto Tognoli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1978)

  • Volume: 64, Issue: 2, page 163-169
  • ISSN: 0392-7881

Abstract

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Let X be a set, a topology τ on X is completely regular if, and only if, τ is the topology defined by a family of maps { f λ : X 𝐑 } . It is not difficult to prove that in some sense 𝐑 is minimal under this condition. The purpose of this paper is to characterize the spaces of values Y that are minimal and the families of topologies on X that are complete under the property of being induced by a family of maps { f λ : X Y } .

How to cite

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Giuli, Eraldo, and Tognoli, Alberto. "Proprietà topologiche e topologie iniziali." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 64.2 (1978): 163-169. <http://eudml.org/doc/290082>.

@article{Giuli1978,
author = {Giuli, Eraldo, Tognoli, Alberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {2},
number = {2},
pages = {163-169},
publisher = {Accademia Nazionale dei Lincei},
title = {Proprietà topologiche e topologie iniziali},
url = {http://eudml.org/doc/290082},
volume = {64},
year = {1978},
}

TY - JOUR
AU - Giuli, Eraldo
AU - Tognoli, Alberto
TI - Proprietà topologiche e topologie iniziali
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1978/2//
PB - Accademia Nazionale dei Lincei
VL - 64
IS - 2
SP - 163
EP - 169
LA - ita
UR - http://eudml.org/doc/290082
ER -

References

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  1. BARON, S. (1968) - Note on epi in T 0 , «Can. Math. Bull.», 11, 503-504. Zbl0167.20702MR235003DOI10.4153/CMB-1968-061-6
  2. BOURBAKI, N. (1965) - Topologie Générale, II Ch. 1, Hermann (Paris). MR149429
  3. ENGELKING, R. e MRÓWKA, S. (1958) - On E-compact spaces, «Bull. Acad. Polon. Sci.», 6, 429-436. MR97042
  4. HERRLICH, H. (1965) - Wann sind alle stetigen Abbildungen in Y konstant? «Math. Z.», 90, 152-154. Zbl0131.20402MR185565DOI10.1007/BF01112240
  5. HERRLICH, H. (1967) - E-kompakte Räume, «Mat. Z.», 96, 228-255. MR205218DOI10.1007/BF01124082
  6. HERRLICH, H. (1971) - Categorical Topology, «Gen. Top. Appl.», 1, 1-15. Zbl0215.51501MR283744
  7. KENNISON, J. F. (1965) - Reflective functors in general topology and elsewhere, «Trans. Amer. Math. Soc.», 118, 303-315. Zbl0134.40705MR174611DOI10.2307/1993961
  8. MITCHELL, B. (1965) - Theory of categories, Academic Press. Zbl0136.00604MR202787
  9. MRÓWKA, S. (1956) - On universal spaces, «Bull. Acad. Polon. Sci.», 4, 479-481. MR89401
  10. MRÓWKA, S. (1968) - Further results on E-compact spaces, «Acta Math.», 120, 161-185. MR226576DOI10.1007/BF02394609
  11. WILLARD, S. (1970) - General topology, Addison-Wesley (Reading). Zbl0205.26601MR264581

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