TY  - JOUR
AB  - We discuss Poincaré duality complexes X and the question whether or not their Spivak normal fibration admits a reduction to a vector bundle in the case where the dimension of X is at most 4. We show that in dimensions less than 4 such a reduction always exists, and in dimension 4 such a reduction exists provided X is orientable. In the non-orientable case, there are counterexamples to reducibility by Hambleton–Milgram.
AU  - Land, Markus
DA  - 2022
DO  - 10.17879/23049551069
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 47
N1  - Förderer: Deutsche Forschungsgemeinschaft / Projektnummer: CRC 1085
N1  - Funding organisation: Deutsche Forschungsgemeinschaft / Project number: CRC 1085
N1  - Förderer: Danish National Research Foundation / Projektnummer: DNRF151
N1  - Funding organisation: Danish National Research Foundation / Project number: DNRF151
PY  - 2022
SP  - 47-81
T2  - Münster Journal of Mathematics
TI  - Reducibility of low-dimensional Poincaré duality spaces
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-23049551583
Y2  - 2024-12-27T09:53:48
ER  -