General Topology

Khurram Pervez, Syed Hussain Shah, Dr. Muhammad Nawaz "General Topology", *International Journal of Mathematics Trends and Technology (IJMTT). *V37(3):184-185 September 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

**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.

**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.

**Keywords**

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