On a construct of closure spaces
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Josef Šlapal (1997)
Rendiconti del Seminario Matematico della Università di Padova
Juraj Činčura (1979)
Mathematica Slovaca
Xiangdong Chen (1992)
Commentationes Mathematicae Universitatis Carolinae
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
Anna Tozzi, Oswald Wyler (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Vlad, Carmen D. (2005)
International Journal of Mathematics and Mathematical Sciences
Maximilian Ganster, Dragan S. Janković, Ivan L. Reilly (1990)
Commentationes Mathematicae Universitatis Carolinae
Boonpok, C. (2009)
General Mathematics
Roman Frič (1977)
Mathematica Slovaca
Jafari, S., Viswanathan, K., Rajamani, M., Krishnaprakash, S. (2008)
The Journal of Nonlinear Sciences and its Applications
Roman Frič (1976)
Czechoslovak Mathematical Journal
Jorge Picado (1995)
Commentationes Mathematicae Universitatis Carolinae
Some aspects of extended frames are studied, namely, the behaviour of ideals, covers, admissible systems of covers and uniformities.
Fawakhreh, Anwar Jabor, Kiliçman, Adem (2001)
International Journal of Mathematics and Mathematical Sciences
Artur Piękosz (2013)
Annales Polonici Mathematici
We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.
Artur Piękosz (2013)
Annales Polonici Mathematici
This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.
Al-Zoubi, Khalid Y. (2005)
International Journal of Mathematics and Mathematical Sciences
K. K. Azad, Shiva Mittal (2011)
Matematički Vesnik
Friedhelm Schwarz, Sibylle Weck-Schwarz (1992)
Commentationes Mathematicae Universitatis Carolinae
It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.
Jan Chvalina (1976)
Archivum Mathematicum
Josef Šlapal (1988)
Mathematica Slovaca
Todorcevic, Stevo (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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