$\mathcal{I}$ — Fréchet-Urysohn Spaces

V. Renukadevi, B. Prakash

In this paper, we introduce the concept ss-sequentially quotient mapping. Using this concept, we characterize s-Fréchet-Urysohn spaces and s-sequential spaces. Finally, we develop the properties of $\mathcal{I}$-Fréchet-Urysohn spaces which is the generalized form of s-Fréchet-Urysohn spaces. Also, we give an example that product of two $\mathcal{I}$-Fréchet-Urysohn spaces need not be an $\mathcal{I}$-Fréchet-Urysohn space for any $\mathcal{I}$.