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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 3 | Year 2016 | Article Id. IJMTT-V37P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P524

General Topology


Khurram Pervez, Syed Hussain Shah, Dr. Muhammad Nawaz
Abstract

Tychonoff’s theorem is classified as of the topology theorem. Topology is a basic mathematical field that deals with geometric properties, continuity, and boundary in relation to subspaces. The theorem argues that a product of spaces is always compact if each of the spaces used are compact.

Keywords
Topology is a basic mathematical field that deals with geometric properties, continuity, and boundary in relation to subspaces.
References

[1] Enache, P., Nastasescu, C., & Torrecillas, B. (2006). Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.
[2] Garling, D. J. H. (2013). A Course in Mathematical Analysis: Volume 2. Cambridge: Cambridge University Press.
[3] Schechter, E. (January 01, 2006). Kelley's specialization of Tychonoff's theorem is equivalent to the Boolean Prime Ideal Theorem. Fundamental Mathematicae, 189, 285-288.
[4] Negri, S., & Valentini, S. (January 01, 1997). Tychonoff's Theorem in the Framework of Formal Topologies. J. Symbolic Logic, 62, 4, 1315-1332.
[5] Wright, D. & West, J. (2016). Tychonoff's Theorem. American Mathematics Society. Retrieved 8 August 2016, from http://www.ams.org/journals/proc/1994-120-03/S0002-9939-1994-1170549-2/S0002-9939-1994-1170549-2.pdf
[6] Moorhouse, E. (2016). Ultra lters and Tychono 's Theorem (October, 2015 Version). University of Wyoming (Department of Mathematics). Retrieved 8 August 2016, from http://www.uwyo.edu/moorhouse/courses/5600/ultrafilters_and_tychonoff.pdf.

Citation :

Khurram Pervez, Syed Hussain Shah, Dr. Muhammad Nawaz, "General Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 3, pp. 184-185, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P524

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