Heredity of Lower Separation Axioms on Function Spaces

ABSTRACT

The set
of continuous functions from topological space ** Y** to topological space

Cite this paper

Muturi, N. (2014) Heredity of Lower Separation Axioms on Function Spaces.*Advances in Pure Mathematics*, **4**, 89-92. doi: 10.4236/apm.2014.43014.

Muturi, N. (2014) Heredity of Lower Separation Axioms on Function Spaces.

References

[1] Fox, R.H. (1945) On Topologies for Function Spaces. American Mathematical Society, 27, 427-432.

[2] Kelley, J.L. (1955) General Topology. Springer-Verlag, Berlin.

[3] Muturi, N.E., Gichuki, M.N. and Sogomo, K.C. (2013) Topologies on the Underlying Function Space. International Journal of Management, IT and Engineering, 3, 101-113.

[4] Arens, R.F. (1946) A Topology for Spaces of Transformations. The Annals of Mathematics, 2, 480-495.

http://dx.doi.org/10.2307/1969087

[5] Willard, S. (1970) General Topology. Addison-Wesley Publishing Company, United States of America.

[6] Kathryn, F.P. (1993) The Open-Open Topology for Function Spaces. International Journal Mathematics and Mathematical Sciences, 16, 111-116. http://dx.doi.org/10.1155/S0161171293000134

[7] Muturi, N.E. (2014) Homeomorphism between the Underlying Function Space and the Subspace of the Function Space. Journal of Advanced Studies in Topology, 1, 57-60.

[1] Fox, R.H. (1945) On Topologies for Function Spaces. American Mathematical Society, 27, 427-432.

[2] Kelley, J.L. (1955) General Topology. Springer-Verlag, Berlin.

[3] Muturi, N.E., Gichuki, M.N. and Sogomo, K.C. (2013) Topologies on the Underlying Function Space. International Journal of Management, IT and Engineering, 3, 101-113.

[4] Arens, R.F. (1946) A Topology for Spaces of Transformations. The Annals of Mathematics, 2, 480-495.

http://dx.doi.org/10.2307/1969087

[5] Willard, S. (1970) General Topology. Addison-Wesley Publishing Company, United States of America.

[6] Kathryn, F.P. (1993) The Open-Open Topology for Function Spaces. International Journal Mathematics and Mathematical Sciences, 16, 111-116. http://dx.doi.org/10.1155/S0161171293000134

[7] Muturi, N.E. (2014) Homeomorphism between the Underlying Function Space and the Subspace of the Function Space. Journal of Advanced Studies in Topology, 1, 57-60.