Rational homotopy types of mapping spaces via cohomology algebras
Let X be a connected finite CW-complex and Y be a connected rational space with minimal Sullivan model of the form ( Λ ( P ⊕ Q ) , d P = 0 , d Q ⊂ Λ P ) , where P and Q are graded spaces of finite type. In this paper, it is shown that the rational homotopy type of map ( X , Y ) is determined by the...
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| Veröffentlicht in: | Archiv der Mathematik 2022-12, Vol.119 (6), p.639-648 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
X
be a connected finite CW-complex and
Y
be a connected rational space with minimal Sullivan model of the form
(
Λ
(
P
⊕
Q
)
,
d
P
=
0
,
d
Q
⊂
Λ
P
)
,
where
P
and
Q
are graded spaces of finite type. In this paper, it is shown that the rational homotopy type of
map
(
X
,
Y
)
is determined by the cohomology algebra
H
∗
(
X
;
Q
)
and the rational homotopy type of
Y
. |
|---|---|
| ISSN: | 0003-889X 1420-8938 |
| DOI: | 10.1007/s00013-022-01784-4 |