Publications of V. Kannan

PUBLICATIONS OF V. KANNAN

1. 
   Reflexive cum co- reflexive subcategories in Topology, Math. Annallen 195, (1972) 168-174.
   
2. 
   A countable connected Urysohn space containing a dispersion point, Proc. Amer. Math. Soc. 35, (1972) 289-290.
   
3. 
   (with M. Rajagopalan) Regularity and dispersion in countable spaces, Duke Math. Jour. 39, (1972) 729-734.
   
4. 
   An extension that nowhere has the Frechet property, Michigan Math. Jour. 20, (1973) 225-234.
   
5. 
   (with M. Rajagopalan) On Countable locally connected spaces, Colloq. Math. 29, (1974) 93-100.
   
6. 
   (with M. Rajagopalan) On Scattered Spaces, Proc. Amer. Math. Soc. 43 , (1974) 402-408.
   
7. 
   A note on countable compact spaces, Publ. Math. Debrecen 21, (1974) 113-114.
   
8. 
   A note on countably generated spaces, Archive. Der. Math. 25, (1974) 42-43.
   
9. 
   (with T.Thrivikraman) Lattices of Hausdroff compactifications of a locally compact space, Pacific Jour. Math. 57, (1975) 441-444.
   
10. 
    "Ordinal Invariants in Topology - I, on two questions of Arhangelskii and Franklin ", General Topology and Applications 5, (1975) 269-296.
    
11. 
    Coreflective subcategories in Topology, "Madurai University Journal, 5", (1976) 93-96.
    
12. 
    (with M. Rajagopalan) Constructions and Applications of Rigid Spaces - I, Advances in Math. 29, (1978) 89-130.
    
13. 
    (with M. Rajagopalan) Scattered Spaces -II, Illinois Jour. Math.21, (1977) 735-751.
    
14. 
    (with M. Rajagopalan) Constructions and Applications of Rigid Spaces - II, Amer. Math. 100, (1978) 1139-1172.
    
15. 
    On a problem of Herrlich, "Madurai University Journal, 6", (1977) 101-104.
    
16. 
    (with M. Rajagopalan) Constructions and Applications of Rigid Spaces - III, Canadian Jour. Math. 30, (1978) 926-932.
    
17. 
    "(with A.K. Vijayakumar) Simpler Proofs - I, Independent Sets are thin", Jour. Ind. Math. Soc. 42, (1978) 131-134.
    
18. 
    "Ordinal Invariants in Topology - II, Sequential order of compactifications", Composito Math. 39, (1979) 247-262.
    
19. 
    (with H. Herrlich and M. Rajagopalan) Hereditarily locally compact spaces and simple extensions of discrete spaces, Proc. Amer. Math. Soc. 77, (1979) 421-423.
    
20. 
    Every compact T5 sequential space is Frechet, Fund. Mathematicae C VII, (1980) 85-90.
    
21. 
    (with S.R.K. Raju) The non - existence of invariant universal sigma-finite measures on semigroups , Proc. Amer. Math. Soc. 78, (1980) 482-484.
    
22. 
    "Simpler Proofs - 2, On a Set Theoretic Result of Mrowka", Ind. Jour. Pure and Appl. Math. 12, (1981) 71-72.
    
23. 
    "Simpler Proofs - 4, On spaces with a unique compactification ", Math. Student 48, (1980)161-162.
    
24. 
    Ordinal Invariants in Topology, Memoirs of the Amer. Math. Soc., (1981) 165 pages, (the entire volume No. 245).
    
25. 
    "(with T. Soundararajan) Properties that are productive, closed-hereditary and surjective ", Topology and Applications 12, (1981) 141-146.
    
26. 
    (with S.R.K. Raju) Simpler Proofs 5-A characterization of inner product spaces, Math. Today 1, (1983) 13-16.
    
27. 
    "Ordinal Invariants in Topology - III, Simplest compact spaces for sequential order", Math. Today 1, (1983) 65-80.
    
28. 
    (with M.Venkataraman) What is an ultra filter? , UGC Jour. Math. Edu., 1983
    
29. 
    A Problem in Approximation Theory, Math. Student 54, (1986)73-81.
    
30. 
    (with G.R. Desiraju) What is the maximum yield in the solid state cinnamic acid dimerisation?, Proc. (Chem. Sci.) of the Indian Acad. Sci. 96, (1986) 351-362.
    
31. 
    Rogers-Ramanujan Identities: An elementary introduction, UGC Jour. Math. Edu., (1987)74-49.
    
32. 
    Two Applications of Banach-Stone Theorem, Jour. Math. And Phys. Soc. 12, (1987) 227-239.
    
33. 
    (with M. Rajagopalan) Topological characterization of some countable Metric spaces, Bulletin o U.M.I. (Italy), (1987) 351-357.
    
34. 
    (with A.J. Jayanthan) Spaces every quotient of which is metrizable, Proc. Amer. Math. Soc. 103, (1988) 294-298.
    
35. 
    Converses of Lucas' s Theorem , Math. Student 57, (1989) 53-58.
    
36. 
    (with S. Ravichandran) Simultaneous Best Approximation by three polynomials , Jour. Approximation Theory 59, (1989) 258-266.
    
37. 
    (with A.J. Jayanthan) Joins of Topologies homeomorphic to Rationals, Jour. Australian Math. Soc. A47, (1989)256-262.
    
38. 
    Theory of Dispersed Metric Spaces , Bull. Allad. Math. Soc. 5, (1990) 79-109.
    
39. 
    Formulas for Functions, Math. Student 64, (1994) 3-32.
    
40. 
    Cantor Set: from classical to modern , Math. Student , (1994) 243-257.
    
41. 
    Some Selection Theorems, Math. Student, (1996) 70-80.
    
42. 
    "(with P.V.S.P Saradhi and S.P. Sesha Sai), A generalization of Sarkovskii' s Theorem to higher dimensions ", Jour. Nat. Acad. Math. 2, 1997(appeared 1999) 69-82.
    
43. 
    "(with Nagar, Anima, Sesha Sai, S.P.) Properties of topologically transitive maps on the real line", Real Anal. Exchange 27 , 2001
    
44. 
    (with Anima Nagar) Spaces admitting transitive maps, Topology Proceedings 26(2001-2002), 2002
    
45. 
    (with P.V.S.P Saradhi) Periodic Point Property, "Proc. of A.P. Academy of Sciences, Vol. 8, No. 3", 2004
    
46. 
    "(with Anima Nagar and K. Srinivas), Some simple conditions implying topological transitivity for internal maps", "Aequationes Mathematicae, 67", 2004
    
47. 
    "(with B.Sankara Rao, I.Subramania Pillai and S.Niketa Salvi) Polynomials hardly commuting with increasing bijections, ", "Semigroup Forum, 76(i):124-132, ", 2008
    
48. 
    "(with K.Ali Akbar, Sharan Gopal and P.Chiranjeevi) The Set of Periods of Periodic Points of a Linear Operator, Linear Algebra and Its Applications, 431 (2009) 241-246.
    
49. 
    “(with K Ali Akbar, I Subramania Pillai, B Sankara Rao, Sets of all periodic points of a toral automorphism, J. Math. Anal. Appl. 366 (2010) 367-371
    
50. 
    Some families of subsets of N that arise in Topological Dynamics, Bulletin of Kerala Mathematics Association, 2010.
    
51. 
    Sets of periods of dynamical systems, Indian Journal of Pure and Applied Mathematics, Vol. 41, No.1, 225-240, February 2010.
    
52. 
    (with Sharan Gopal), 63 kinds of subsets, Bull. Kerala Math. Association 6 (2010) 121-130.
    
53. 
    (with K Ali Akbar, I Subramania Pillai, B Sankara Rao), The set of periods of periodic points of a toral automorphism, Topology Proceedings, 37 (2011) 1-14.
    
54. 
    (with Sankara Rao B, Subramania Pillai I) The set of Dynamically special points, Aequationes Mathematicae (Austria) 82, 2011, 81-90.
    
55. 
    (with Chiranjeevi and Sharan Gopal) Periodic Points and Periods for Operators on Hilbert Space, Discrete and Continuous Dynamical Systems, Vol.33, 4233-4237, Published online, March 2013.
    

Proceedings

1. 
   (with M. Rajagopalan) On rigidity and groups of homeomorphisms, General Topology and its relations to Modern Analysis and Algebra III, Proceedings of Third Prague Topology Symposium (1971). Publ (1972) 231-134.
   
2. 
   Ordinal Invariants in Topology - A summary, Proceedings of Fourth Prague Topology Symposium (1976). Publ (1977) by Czech. Acad. Sci., 197-206.
   
3. 
   (with M. Rajagopalan) Hereditarily locally compact separable spaces, Proc. Berlin Symposium on Categorical Topology (1978) Springer Verlag Lecture Notes in Math. 719 (1979)185-195.
   
4. 
   Pairs of Topologies with same family of continuous self maps, Proc. Berlin Symposium on Categorical Topology (1978) Springer Verlag Lecture Notes in Math. 719 (1979) 176-184.
   
5. 
   A classification theorem in Topology, Proc. Conf. on general topology, set theory and modern analysis with applications, Univ. of California (1980) Academic Press (1981) 241-246.
   
6. 
   (with A.J. Jayanthan) Finite - to – one Quotients, Second Biennial Conf. Allahabad Math. Soc. (1990) 31-42.
   
7. 
   Linear Selection of Spectral elements ,Proc. Symposium on Operator Theory and functional Analysis, Publ. No. 18 (1990), Centre for Math. Studies, Trivendrum, 1-8.
   
8. 
   On Banach spaces of continuous functions, Proc. Trends in Algebra and Topology, Madurai Kamaraj Univ. (1992) Publ. (1993) 87-94.
   
9. 
   Completeness and completion : Three different models, Proc. Workshop on Speech Technology (1992) IIT Madras, 129-135.
   
10. 
    “(with Sharan Gopal)”, Four combinatorial problems in topology and dynamics, Proceedings of the National Seminar on Topology and Its Applications to Computer Science and Related Areas, Dept. of Mathematical Sciences, Kannur University, Nov. 25-26, 2009.
    
11. 
    “(with Sharan Gopal)”, A greedy algorithm hidden in sulbasutra, Proceedings of the National Workshop on Ancient Indian Mathematics, Rashtriya Sanskrit Vidyapeetha, during 20-24, September 2010.
    
12. 
    Eight important elementary results of Euler, Proceedings of a National seminar at Sri Venkateshwara University, Tirupathi, 2011.
    
13. 
    (with Sharan Gopal), A greedy algorithm hidden in Sulbasutra, Proceedings of the National Workshop on Ancient Indian Mathematics, Rashtriya Sanskrit Vidyapeetha Publications Series -265, (2011) 17-26.
    

Lectures Published.

1. 
   Rivlin’s Problem in Approximation Theory, Sectional Presidential Address, Eighty first session of Indian Science Congress Association, Jaipur (1994) 1-20.
   
2. 
   Convolutions, Sixth Ramanujan Centenary Endowment Lecture, Anna University, Madras (1995) 1-24.
   
3. 
   Mathematics and Related Sciences in Vedas, Yogakshema Trust, Chennai (1998) Republished : Hayoga Vedas (1999).
   
4. 
   Paracompact spaces, "Prof. Afzal Ahmed Memorial Lecture, Ind. Jour. For the Advancement of Math. Exn. and Res.", 2003.
   
5. 
   "Three Ideas of Ulam, Prof. Abdi Memorial Lectures", Published by Cochin University of Science and Technology along with other memorial lectures, 2003-2004.
   

Books

1. 
   (with Izhar Hussain, M.S. Rangachari and A.M. Vaidya) Text Books for Classes XI and XII, NCERT (1986) (4 volumes).
   
2. 
   (with J.N. Kapur, R.S.L. Srivastava, etc.) Text book : MTE-01, Calculus, IGNOU (1990).
   

Videocassettes in Mathematics

1. 
   Parabolas, UGC Countrywide class room (1992).
   
2. 
   Compactness and continuity, Andhra Pradesh Open University (1994).
   
3. 
   (with W.W.Comfort) Krein-Milman Theorem, UGC Countrywide class room.
   
4. 
   (with Michel Waldshmidt) Squares, Cubes and Powers, UGC Countrywide class room.
   

Other published articles

1. 
   (with S.R.K. Raju) Structure of some Banach spaces, Lecture Notes of “a National Seminar on Mathematical Analysis and its Applications”, Ramanujan Institute of Advanced Study in Mathematics, University of Madras (1983).
   
2. 
   Mathematics in other sciences, Progressive Educational Herald (1987).
   
3. 
   Support required for books and journals in Mathematics, IMS conf. on support for education and research in Math. Sci., Delhi (1989).
   
4. 
   Prof. Venkataraman – a tribute, UGC Jour. Math. Edu., (1991).
   
5. 
   Hausdorff-Young Theorem, Math. Newsletter, 1991.
   
6. 
   Presidential Address (general), 58^th Annual Conf. of the Indian Math. Soc., BHU, Varanasi (1993).
   
7. 
   The language of Mathematics, AP Jour. Math. Research (1994).
   
8. 
   Profiles in scientific research contributions of fellows, Vol. I, Diamond Jubilee Publications, INSA, (1995) 49-55.
   
9. 
   Lessons learnt from Prof. M. Venkatraman, AP Jour. Math. Research (1999).
   
10. 
    Lagadha, In the book “Ancient Indian Mathematicians”, 2010, 1-10.