Postnikov invariants of H-spaces

• Autorzy: Dominique Arlettaz , Nicole Pointet-Tischler
• Języki publikacji: EN

Abstrakty

EN

It is known that the order of all Postnikov k-invariants of an H-space of finite type is finite. This paper establishes the finiteness of the order of the k-invariants $k^{m+1}(X)$ of X in dimensions m ≤ 2n if X is an (n-1)-connected H-space which is not necessarily of finite type (n ≥ 1). Similar results hold more generally for higher k-invariants if X is an iterated loop space. Moreover, we provide in all cases explicit universal upper bounds for the order of the k-invariants of X.

Kategorie tematyczne

• 55P45: H -spaces and duals
• 55P35: Loop spaces
• 55S45: Postnikov systems, k -invariants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 161
• Numer: 1-2
• Strony: 17-35

Daty

wydano

1999

otrzymano

1997-12-15

poprawiono

1998-07-08

Twórcy

autor

Dominique Arlettaz

• Institut de mathématiques, Université de Lausanne, CH-1015 Lausanne, Switzerland

autor

Nicole Pointet-Tischler

• Max-Planck-Institut für Mathematik, D-53072 Bonn, Germany
• Zelgstrasse 44, CH-8134 Adliswil, Switzerland

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