Book Publications:

Author: B. K. Tyagi,

Title: First Course in Metric Spaces,

Publisher: Cambridge University Press (Foundation Books),

ISBN: 9788175967281.

Research Publications:


  1. Mandeep Kumar; B K Tyagi Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence, Applied General Topology 23 (2), 303-314.

  2. Sheetal Luthra; Brij Kishore Tyagi; Some remarks on uniform convergence topology, Questions and Answers in General Topology, 40 (2022), pp. 43–52.

  3. Luthra, Sheetal; Chauhan, Harsh V. S.; Tyagi, B. K.; Tunc, Cemil Covering properties by (a)-θ-open sets in (a)topological spaces. Palest. J. Math. 11 (2022), no. 2, 531–541.

  4. Tyagi, B. K.; Luthra, Sheetal Open-point and bi-point open topologies on continuous functions between topological (spaces) groups. Mat. Vesnik 74 (2022), no. 1, 56–70.

  5. Mittal, Sumit; Tyagi, B. K. Characterizations of countably ρI-compact ideal topological spaces. Sci. Stud. Res. Ser. Math. Inform. 31 (2021), no. 1, 141–150.

  6. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit Some characterizations of connectedness in topological spaces. Questions Answers Gen. Topology 39 (2021), no. 2, 103–125.

  7. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit Some strong forms of connectedness in topological spaces. Questions Answers Gen. Topology 39 (2021), no. 1, 5–26.

  8. Singh, Sumit; Tyagi, Brij K.; Bhardwaj, Manoj The almost I-Hurewicz covering property. Filomat 35 (2021), no. 14, 4777–4787.

  9. Luthra, Sheetal; Chauhan, Harsh Vardhan Singh; Tyagi, Brij Kishore Selective separability in (a)topological spaces. Filomat 35 (2021), no. 11, 3745–3758.

  10. Kumar, Gaurav; Tyagi, Brij K. Weakly strongly star-Menger spaces. Cubo 23 (2021), no. 2, 287–298.

  11. Bhardwaj, M.; Singh, S.; Tyagi, B. K. Relative version of star-Hurewicz property. Acta Math. Hungar. 164 (2021), no. 1, 85–100.

  12. Tyagi, Brij K.; Singh, Sumit; Bhardwaj, Manoj Covering properties defined by preopen sets. Asian-Eur. J. Math. 14 (2021), no. 3, Paper No. 2150035, 15 pp.

  13. Singh, Sumit; Tyagi, Brij K.; Bhardwaj, Manoj Sequence selection properties in Cp(X) with the double ideals. Math. Slovaca 71 (2021), no. 1, 147–154.

  14. Bhardwaj, Manoj; Tyagi, B. K.; Singh, Sumit Star-Hurewicz modulo an ideal property in topological spaces. J. Indian Math. Soc. (N.S.) 88 (2021), no. 1-2, 33–45.

  15. Bhardwaj, Manoj; Tyagi, Brij K.; Singh, Sumit On SIH property and SSIH property in topological spaces. Khayyam J. Math. 7 (2021), no. 1, 65–76.

  16. Singh, Sumit; Tyagi, Brij K. Remarks on almost Menger and weakly Menger spaces. Questions Answers Gen. Topology 38 (2020), no. 2, 127–131.

  17. Singh, Sumit; Tyagi, Brij K.; Bhardwaj, Manoj Pre-Hurewicz and related spaces. Questions Answers Gen. Topology 38 (2020), no. 1, 71–85.

  18. Luthra, Sheetal; Chauhan, Harsh V. S.; Tyagi, B. K. Quasi-N-open sets in (a)topological spaces. Jordan J. Math. Stat. 13 (2020), no. 4, 505–517.

  19. Singh, Sumit; Tyagi, Brij K.; Bhardwaj, Manoj The absolutely strongly star-Hurewicz property with respect to an idea. Tatra Mt. Math. Publ. 76 (2020), 81–94.

  20. Luthra, Sheetal; Tyagi, B. K. Homeomorphisms between function spaces. J. Adv. Stud. Topol. 11 (2020), no. 1-2, 1–5.

  21. Tyagi, Brij K.; Singh, Sumit; Bhardwaj, Manoj Independent form of (θ,s)-continuous functions in topological spaces. Proyecciones 39 (2020), no. 3, 495–515.

  22. Bhardwaj, Manoj; Tyagi, B. K.; Singh, Sumit Relativization of star-C-Hurewicz property in topological spaces. Bull. Iranian Math. Soc. 46 (2020), no. 4, 1101–1115.

  23. Singh, Sumit; Tyagi, Brij K.; Bhardwaj, Manoj An ideal version of the star-C-Hurewicz covering property. Filomat 33 (2019), no. 19, 6385–6393.

  24. Tyagi, B. K.; Chauhan, Harsh V. S. On semi-open sets and feebly open sets in generalized topological spaces. Proyecciones 38 (2019), no. 5, 875–896 .

  25. Tyagi, Brij K.; Singh, Sumit; Bhardwaj, Manoj Ideal analogues of some variants of the Hurewicz property. Filomat 33 (2019), no. 9, 2725–2734.

  26. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit Sα-connectedness in topological spaces. Jordan J. Math. Stat. 12 (2019), no. 3, 409–424 .

  27. Tyagi, Brij K.; Singh, Sumit; Bhardwaj, Manoj bβ-connectedness as a simultaneous characterization of β-connectedness, γ-connectedness and ββ-connectedness. Questions Answers Gen. Topology 37 (2019), no. 2, 135–153.

  28. Tyagi, B. K.; Singh, Sumit; Bhardwaj, Manoj; Chauhan, Harsh V. S. Some strong forms of connectedness in topological spaces. J. Adv. Stud. Topol. 10 (2019), no. 1, 20–27.

  29. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit Cl∗-connectedness and Cl−Cl∗-connectedness in ideal topological spaces. Mat. Bilten 42 (2018), no. 2, 91–100.

  30. Tyagi, B. K.; Luthra, Sheetal; Chauhan, Harsh V. S. On new types of sets via γ-open sets in (a) topological spaces. Cubo 20 (2018), no. 2, 41–52.

  31. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit αβ-connectedness as a characterization of connectedness. J. Adv. Stud. Topol. 9 (2018), no. 2, 119–129.

  32. Tyagi, B. K.; Bhardwaj, Manoj; Singh, Sumit Hyperconnectedness modulo an ideal. Filomat 32 (2018), no. 18, 6375–6386.

  33. Tyagi, B. K.; Chauhan, Harsh V. S. cμ-cμ-connectedness and V-θ-connectedness in generalized topological spaces. An. Univ. Oradea Fasc. Mat. 25 (2018), no. 2, 99–106.

  34. Tyagi, B. K.; Chauhan, Harsh V. S. On some separation axioms in generalized topological spaces. Questions Answers Gen. Topology 36 (2018), no. 1, 9–29.

  35. Tyagi, Brij K.; Singh, Sumit; Bhardwaj, Manoj Pβ-connectedness in topological spaces. Demonstr. Math. 50 (2017), no. 1, 299–308.

  36. Tyagi, B. K.; Chauhan, Harsh V. S. On generalized closed sets in generalized topological spaces. Cubo 18 (2016), no. 1, 27–45.

  37. Kohli, J. K.; Singh, D.; Tyagi, B. K. Rcl-locally connected spaces. Sci. Stud. Res. Ser. Math. Inform. 26 (2016), no. 1, 25–38.

  38. Tyagi, Brij Kishore; Chauhan, Harsh V. S. A remark on extremally μ-disconnected generalized topological spaces. Math. Appl. (Brno) 5 (2016), no. 1, 83–90.

  39. Tyagi, B. K.; Chauhan, Harsh V. S.; Choudhary, Rachna On γθ-operator and θ-connected sets in generalized topological spaces. J. Adv. Stud. Topol. 6 (2015), no. 4, 135–142.

  40. Singh, Davinder; Tyagi, Brij Kishore; Aggarwal, Jeetendra; Kohli, Jogendra K. Rz-supercontinuous functions. Math. Bohem. 140 (2015), no. 3, 329–343.

  41. Kohli, J. K.; Tyagi, B. K.; Singh, D.; Aggarwal, Jeetendra Rδ-supercontinuous functions. Demonstr. Math. 47 (2014), no. 2, 433–448.

  42. Kohli, J. K.; Singh, D.; Tyagi, B. K. Between local connectedness and sum connectedness. Comment. Math. 53 (2013), no. 1, 3–16.

  43. Tyagi, B. K.; Kohli, J. K.; Singh, D. Rcl-supercontinuous functions. Demonstratio Math. 46 (2013), no. 1, 229–244.

  44. Kohli, J. K.; Singh, D.; Tyagi, B. K. Quasi perfectly continuous functions and their function spaces. Sci. Stud. Res. Ser. Math. Inform. 21 (2011), no. 2, 23–40.

  45. Kohli, J. K.; Singh, D.; Tyagi, B. K. Quasi locally connected spaces and pseudo locally connected spaces. Comment. Math. 50 (2010), no. 2, 183–199.

  46. Tyagi, B. K.; Sharfuddin, A.; Dutta, R. N.; Tayal, Devendra K. A complete axiomatization of fuzzy functional dependencies using fuzzy function. Fuzzy Sets and Systems 151 (2005), no. 2, 363–379.

  47. Saxena, P. C.; Tyagi, B. K. Fuzzy functional dependencies and independencies in extended fuzzy relational database models. Fuzzy Sets and Systems 69 (1995), no. 1, 65–89.

  48. Ajmal, Naseem; Tyagi, B. K. On fuzzy almost continuous functions. Fuzzy Sets and Systems 41 (1991), no. 2, 221–232.

  49. Ajmal, Naseem; Tyagi, B. K. A characterization of regular fuzzy spaces. Mat. Vesnik 41 (1989), no. 2, 65–70.

  50. Ajmal, Naseem; Tyagi, B. K. Regular fuzzy spaces and fuzzy almost regular spaces. Mat. Vesnik 40 (1988), no. 2, 97–108.

Dissertation/Thesis: