Semi-Continuity of Strong Homology Groups of Continuous Maps
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2599-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2599-7 | ||
| 245 | 0 | 0 | |a Semi-Continuity of Strong Homology Groups of Continuous Maps |h [Elektronische Daten] |c [A. Beridze, L. Turmanidze] |
| 520 | 3 | |a In his preprint Strong homology group of continuous map, A. Beridze defined the strong homology groups H ¯ ∗ $$ {\overline{\mathrm{H}}}_{\ast } $$ of continuous map f : X → Y of compact metric spaces. Our aim is to show that for these groups, there exist the Milnor short exact sequence. Using the obtained result, we prove that there exists a continuous map with trivial Čech homology groups and nontrivial strong homology groups. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Beridze |D A. |u Shota Rustaveli State University, Batumi, Georgia |4 aut | |
| 700 | 1 | |a Turmanidze |D L. |u Shota Rustaveli State University, Batumi, Georgia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/1(2015-11-01), 13-30 |x 1072-3374 |q 211:1<13 |1 2015 |2 211 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2599-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2599-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Beridze |D A. |u Shota Rustaveli State University, Batumi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Turmanidze |D L. |u Shota Rustaveli State University, Batumi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/1(2015-11-01), 13-30 |x 1072-3374 |q 211:1<13 |1 2015 |2 211 |o 10958 | ||