Componentwise injective models of functors to DGAs

Marek Golasiński

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 1, page 83-92
  • ISSN: 0010-1354

Abstract

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The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.

How to cite

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Golasiński, Marek. "Componentwise injective models of functors to DGAs." Colloquium Mathematicae 73.1 (1997): 83-92. <http://eudml.org/doc/210480>.

@article{Golasiński1997,
abstract = {The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.},
author = {Golasiński, Marek},
journal = {Colloquium Mathematicae},
keywords = {Sullivan theory; minimal models; linearly compact -module; injective minimal models},
language = {eng},
number = {1},
pages = {83-92},
title = {Componentwise injective models of functors to DGAs},
url = {http://eudml.org/doc/210480},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Golasiński, Marek
TI - Componentwise injective models of functors to DGAs
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 1
SP - 83
EP - 92
AB - The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.
LA - eng
KW - Sullivan theory; minimal models; linearly compact -module; injective minimal models
UR - http://eudml.org/doc/210480
ER -

References

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  1. [1] A. K. Bousfield and V. K. A. M. Gugenheim, On PL de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 179 (1976). Zbl0338.55008
  2. [2] B. L. Fine and G. V. Triantafillou, On the equivariant formality of Kähler manifolds with finite group action, Canad. J. Math. 45 (1993), 1200-1210. Zbl0805.55009
  3. [3] M. Golasiński, Injectivity of the de Rham algebra on G-disconnected simplicial sets, submitted. Zbl0886.55012
  4. [4] S. Halperin, Lectures on minimal models, Mém. Soc. Math. France 9-10 (1983). 
  5. [5] S. Lefschetz, Algebraic Topology, Amer. Math. Soc. Colloq. Publ. 27, 1942. 
  6. [6] W. Lück, Transformation Groups and Algebraic K-Theory, Lecture Notes in Math. 1408, Springer, 1989. Zbl0679.57022
  7. [7] D. Sullivan, Infinitesimal computations in topology, Publ. Math. I.H.E.S. 47 (1977), 269-331. Zbl0374.57002
  8. [8] G. V. Triantafillou, Equivariant minimal models, Trans. Amer. Math. Soc. 274 (1982), 509-532. Zbl0516.55010

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