Keywords: preopen sets preclosed sets; weakly preclosed functions; extremally disconnected spaces; quasi H-closed spaces
@article{ARM_2004_40_2_a1,
author = {Caldas, Miguel and Navalagi, Govindappa},
title = {On weak forms of preopen and preclosed functions},
journal = {Archivum mathematicum},
pages = {119--128},
year = {2004},
volume = {40},
number = {2},
mrnumber = {2068686},
zbl = {1111.54011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2004_40_2_a1/}
}
Caldas, Miguel; Navalagi, Govindappa. On weak forms of preopen and preclosed functions. Archivum mathematicum, Tome 40 (2004) no. 2, pp. 119-128. http://geodesic.mathdoc.fr/item/ARM_2004_40_2_a1/
[1] Abd-El-Monsef M. E., El-Deeb S. N., Mahmoud R. A.: $\beta $-open and $\beta $-continuous mappings. Bull. Fac. Sci. Assiut Univ. 12 (1983), 70–90.
[2] Andrijevic D.: Semipreopen sets. Mat. Vesnik 38 (1986), 24–32. | MR
[3] Arya S. P., Gupta R.: Strongly continuous mappings. Kyungpook Math. J. 14 (1974), 131–143. | MR | Zbl
[4] Baker C. W.: Contra-open functions and contra-closed functions. Math. Today (Ahmedabad) 15 (1997), 19–24. | MR | Zbl
[5] Baker C. W.: Decomposition of openness. Int. J. Math. Math. Sci. 17 (1994), 413–415. | MR | Zbl
[6] Caldas M.: Weak and strong forms of irresolute maps. Int. J. Math. Math. Sci. 23 (2000), 253–259. | MR | Zbl
[7] Cameron D. E.: Properties of s-closed spaces. Proc. Amer. Math. Soc. 72 (1978), 581–586. | MR | Zbl
[8] Cameron D. E.: Some maximal topologies which are Q.H.C. Proc. Amer. Math. Soc. 75 (1979), 149–156. | MR
[9] Chew J., Tong J.: Some remarks on weak continuity. Amer. Math. Monthly 98 (1991), 931–934. | MR | Zbl
[10] Costovici, Gh.: Other elementary properties of the mappings of topological spaces. Bul. Inst. Politehn. Iasi. Sect. I. 26 (1980), 19–21. | MR | Zbl
[11] Corson H., Michael E.: Metrizability of certain countable union. Illinois J. Math. 18 (1964), 351–360. | MR
[12] El-Deeb S. N., Hasanein I. A., Mashhour A. S., Noiri T.: On $p$-regular spaces. Bull. Math. Soc. Sci. Math. R.S. Roum. 27 (1983), 311–315. | MR | Zbl
[13] Husain T.: Almost continuous mappings. Pr. Mat. 10 (1966), 1–7. | MR | Zbl
[14] Kar A., Bhattacharya P.: Weakly semicontinuous functions. J. Indian Acad. Math. 8 (1986), 83–93. | MR
[15] Kar A., Bhattacharya P.: Some weak separation axioms. Bull. Calcutta Math. Soc. 82 (1996), 415–422. | MR
[16] Levine N.: Strong continuity in topological spaces. Amer. Math. Monthly 67 (1960), 269. | Zbl
[17] Long P. E., Carnahan D. A.: Comparing almost continuous functions. Proc. Amer. Math. Soc. 38 (1973), 413–418. | MR | Zbl
[18] Maheshwari, S,. N., Prasad R.: Some new separation axioms. Ann. Soc. Sci. Bruxelles 89 (1975), 395–402. | MR | Zbl
[19] Mashhour A. S., Abd El-Monsef M. E., El-Deeb S. N.: Precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt. 53 (1982), 47–53. | MR
[20] Mashhour A. S., Hasanein I. A., EL-Deeb S. N.: $\alpha $-continuous and $\alpha $-open mappings. Acta Math. Hungar. 41 (1983), 213–218. | MR | Zbl
[21] Njastad O.: On some classes of nearly open sets. Pacific J. Math. 15 (1965), 961–970. | MR | Zbl
[22] Noiri T.: A generalization of closed mappings. Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 54 (1973), 412–415. | MR
[23] Noiri T.: On $\theta $-semicontinuous functions. Indian J. Pure Appl. Math. 21 (1990), 410–415. | MR
[24] Ptak V.: Completeness and open mappings theorem. Bull. Soc. Math. France 86 (1958), 41–74. | MR
[25] Popa V.: Properties of $H$-almost continuous functions. Bull. Math. Soc. Sci. Math. R.S. Roum. 31 (1987), 163–168. | MR | Zbl
[26] Rose D. A.: On weak openness and almost openness. Int. J. Math. Math. Sci. 7 (1984), 35–40. | MR
[27] Rose D. A., Jankovic D. S.: Weakly closed functions and Hausdorff spaces. Math. Nachr. 130 (1987), 105–110. | MR | Zbl
[28] Singal M. K., Singal A. R.: Almost continuous mappings. Yokohama Math. J. 16 (1968), 63–73. | MR | Zbl
[29] Velicko N. V.: $H$-closed topological spaces. Amer. Math. Soc. Transl. 78 (1968), 103–118.
[30] Willard S.: General topology. Addition Wesley Publishing Company (1970). | MR | Zbl