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13 papers · 1 filter
On products of beta and gamma elements in the homotpy of the first Smith-Toda spectrum
Katsumi Shimomura, Mao-No-Suke Shimomura
In this paper, we determine the first cohomology of the monochromatic comodule at an odd prime, and apply the results to show non-trivialities of some products of beta and…
A reduction of the string bracket to the loop product
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
The negative cyclic homology for a differential graded algebra over the rational field has a quotient of the Hochschild homology as a direct summand if the -action is trivial. W…
Beta families arising from a self map on
Eva Belmont, Katsumi Shimomura
We show that is a permanent cycle in the 3-primary Adams-Novikov spectral sequence computing , and use this to conclude that the families for…
Self-closeness numbers of finite cell complexes
Nobuyuki Oda, Toshihiro Yamaguchi
We reformulate the inequalities among self-closeness numbers of spaces in cofibrations making use of homology dimension and show that the self-closeness number of a space is less t…
Poset-stratified space structures of homotopy sets
Toshihiro Yamaguchi, Shoji Yokura
A poset-stratified space is a pair of a topological space and a continuous map with a poset considered as a topological space with its…
Certain maps preserving self-homotopy equivalences
Jin-ho Lee, Toshihiro Yamaguchi
Let be the group of homotopy classes of self homotopy equivalences for a connected CW complex . We observe two classes of maps -maps and co-$\mathc…