Glasnik Matematicki, Vol. 44, No.2 (2009), 493-498.

ON THE SECOND HOMOTOPY GROUP OF SC(Z)

Katsuya Eda, Umed H. Karimov and Dušan Repovš

School of Science and Engineering, Waseda University, Tokyo 169-8555, Japan
e-mail: eda@logic.info.waseda.ac.jp

Institute of Mathematics, Academy of Sciences of Tajikistan, Ul. Ainy 299A, Dushanbe 734063, Tajikistan
e-mail: umed-karimov@mail.ru

Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O.Box 2964, Ljubljana 1001, Slovenia
e-mail: dusan.repovs@guest.arnes.si

Abstract.   In our earlier paper we introduced a cone-like space SC(Z). In the present note we establish some new algebraic properties of SC(Z).

2000 Mathematics Subject Classification.   54G15, 54G20, 54F15, 54F35, 55Q52.

Key words and phrases.   Cone-like space, simple connectivity, local strong contractibility, second homotopy group.

Full text (PDF) (free access)

DOI: 10.3336/gm.44.2.14

References:

  1. K. Eda, U. Karimov, and D. Repovs, A construction of noncontractible simply connected cell-like two-dimensional Peano continua, Fund. Math. 195 (2007), 193-203.
    MathSciNet     CrossRef

  2. K. Eda, U. Karimov, and D. Repovs, On the fundamental group of R3 modulo the Case-Chamberin continuum, Glas. Mat. Ser. III 42(62) (2007), 89-94.
    MathSciNet     CrossRef

  3. K. Eda, U. Karimov, and D. Repovs, A nonaspherical cell-like 2-dimensional simply connected continuum and some related constructions, Topology Appl. 156 (2009), 515-521.
    MathSciNet     CrossRef

  4. K. Eda and K. Kawamura, Homotopy groups and homology groups of the n-dimensional Hawaiian earring, Fund. Math. 165 (2000), 17-28.
    MathSciNet

  5. K. Kuratowski, Topology II, Academic Press, New York-London; PWN Polish Scientific Publishers, Warsaw, 1968.
    MathSciNet

Glasnik Matematicki Home Page