Maximal connected topologies

J. Pelham Thomas

doi:10.1017/S1446788700006510

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

If (X, ) is a set X with topology we shall say that is connected if (X, ) is a connected topological space. We shall investigate the existence of and the properties of maximal connected topologies.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Cameron, Douglas E. 1971. Maximal and minimal topologies. Transactions of the American Mathematical Society, Vol. 160, Issue. 0, p. 229.

Baggs, Ivan 1972. Maximal perfect spaces. Bulletin of the Australian Mathematical Society, Vol. 7, Issue. 3, p. 429.

Guthrie, J.A. Reynolds, D.F. and Stone, H.E. 1973. Connected expansions of topologies. Bulletin of the Australian Mathematical Society, Vol. 9, Issue. 2, p. 259.

Das, Shawpawn Kumar 1973. On the enumeration of finite maximal connected topologies. Journal of Combinatorial Theory, Series B, Vol. 15, Issue. 2, p. 184.

Raha, Asit Baran 1973. Maximal topologies. Journal of the Australian Mathematical Society, Vol. 15, Issue. 3, p. 279.

Friedler, Louis 1973. Open, Connected Functions. Canadian Mathematical Bulletin, Vol. 16, Issue. 1, p. 57.

Malykhin, V. I. and Ponomarev, V. I. 1977. General topology (set-theoretic trend). Journal of Soviet Mathematics, Vol. 7, Issue. 4, p. 587.

Guthrie, J. A. Stone, H. E. and Wage, M. L. 1978. Maximal connected expansions of the reals. Proceedings of the American Mathematical Society, Vol. 69, Issue. 1, p. 159.

El'kin, A. G. 1979. Maximal connected Hausdorff spaces. Mathematical Notes of the Academy of Sciences of the USSR, Vol. 26, Issue. 6, p. 974.

Borevich, Z. I. 1984. Periodicity of residues of the number of finite labeled topologies. Journal of Soviet Mathematics, Vol. 24, Issue. 4, p. 391.

Clark, Bradd and Schneider, Victor 1988. A characterization of maximal connected spaces and maximal arcwise connected spaces. Proceedings of the American Mathematical Society, Vol. 104, Issue. 4, p. 1256.

Shakhmatov, D. Tkačenko, M. Tkachuk, V. Watson, S. and Wilson, R. 1998. Neither first countable nor Cech-complete spaces are maximal Tychonoff connected. Proceedings of the American Mathematical Society, Vol. 126, Issue. 1, p. 279.

Shakhmatov, Dimitri Tkachenko, Mikhail Tkachuk, Vladimir V. and Wilson, Richard G. 2002. Strengthening connected Tychonoff topologies. Applied General Topology, Vol. 3, Issue. 2, p. 113.

Mioduszewski, Jerzy 2003. Encyclopedia of General Topology. p. 223.

McCluskey, Aisling E. 2003. Encyclopedia of General Topology. p. 24.

Bartoš, Adam 2019. Tree sums of maximal connected spaces. Topology and its Applications, Vol. 252, Issue. , p. 50.

Dube, Themba 2019. Maximal Lindelöf Locales. Applied Categorical Structures, Vol. 27, Issue. 6, p. 687.

Hart, K.P. Hrušák, M. and Verner, J.L. 2020. Petr Simon (1944-2018). Topology and its Applications, Vol. 285, Issue. , p. 107391.

Salih, Muwafaq and Száz, Árpád 2020. Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces. Electronic Research Archive, Vol. 28, Issue. 1, p. 471.

Article contents

Maximal connected topologies

Extract

References

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Maximal connected topologies

Extract

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests