2 citations · 4 across the 19 of their papers we have counts for
20 papers
The group of homotopy self-equivalences is a Lax functor
Toshihiro Yamaguchi, Shoji Yokura
The group $\E(X)$ of homotopy self-equivalences of a topological space is a well-known group in homotopy theory and has been studied by many people since it was first introduce…
A distance between maps via interleavings of relative Sullivan algebras
Katsuhiko Kuribayashi, Takahito Naito, Kengo Sekizuka +2
In this article, we consider extended tame persistence commutative differential graded algebras (CDGAs) associated with relative Sullivan algebras. In particular, if the relative S…
The equalities of interleaving distances and cohomology interleavings of spaces over
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
The cohomology interleaving distance (CohID) is defined and considered in the category of persistent differential graded modules over a field. As a consequence, we show that, in th…
Cartan calculi on the free loop spaces
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
A typical example of a Cartan calculus consists of the Lie derivative and the contraction with vector fields of a manifold on the derivation ring of the de Rham complex. In this ma…
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…
Poincaré polynomials of a map and a relative Hilali conjecture
Toshihiro Yamaguchi, Shoji Yokura
In this paper we introduce homological and homotopical Poincaré polynomials and of a continuous map such that if is a constant map, or m…
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…
An induced map between rationalized classifying spaces for fibrations
Toshihiro Yamaguchi
Let be the Dold-Lashof classifying space of orientable fibrations with fiber . For a rationally weakly trivial map , our strictly induced map $a_f: (Baut_…
Certain maps preserving self-homotopy equivalences
Jin-ho Lee, Toshihiro Yamaguchi
Let be the group of homotopy classes of self homotopy equivalences for a connected CW complex . We observe two classes of maps -maps and co-$\mathc…
Sullivan minimal models of classifying spaces for non-formal spaces of small rank
Hirokazu Nishinobu, Toshihiro Yamaguchi
We consider certain rational homotopical conditions of simly connected CW complex such that the rational cohomology of the classifying space for fibrations with two-s…
Rational toral rank of a map
Toshihiro Yamaguchi
Let and be simply connected CW complexes with finite rational cohomologies. The rational toral rank of a space is the largest integer such that the torus $…
A rational realization problem in Gottlieb group
Toshihiro Yamaguchi
We define the fibre-restricted Gottlieb group with respect to a fibration in CW complexes. It is a subgroup of the Gottlieb group of . When and are finit…
C-symplectic poset structure on a simply connected space
Kazuya Hamada, Toshihiro Yamaguchi, Shoji Yokura
For a field $\K$ of characteristic zero, we introduce a cohomologically symplectic poset structure ${\mathcal P}_{\K}(X)$ on a simply connected space from the viewpoint of $\K$…
Pre-c-symplectic condition for the product of odd-spheres
Junro Sato, Toshihiro Yamaguchi
We say that a simply connected space is pre-c-symplectic if it is the fibre of a rational fibration $X\to Y\to \C P^{\infty}$ where is cohomologically symplectic in the sen…
Examples of rational toral rank complex
Toshihiro Yamaguchi
In "A Hosse diagram for rational toral tanks," we see a CW complex , which gives a rational homotopical classification of almost free toral actions on spaces in th…
A Hasse diagram for rational toral ranks
Toshihiro Yamaguchi
Let be a simply connected CW complex with finite rational cohomology. For the finite quotient set of rationalized orbit spaces of obtained by almost free toral actions, ${\…
A relaxed evaluation subgroup
Toshihiro Yamaguchi
Let be a pointed map between connected CW-complexes. As a generalization of the evaluation subgroup , we will define the {\it relaxed evaluation subgroup} ${…
A rational obstruction to be a Gottlieb map
Toshihiro Yamaguchi
We investigate {\it Gottlieb map}s, which are maps that induce the maps between the Gottlieb groups for all , from a rational hom…
A rational splitting of a based mapping space
Katsuhiko Kuribayashi, Toshihiro Yamaguchi
Let F_*(X, Y) be the space of base-point-preserving maps from a connected finite CW complex X to a connected space Y. Consider a CW complex of the form X cup_{alpha}e^{k+1} and a s…