On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
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Leonard Mdzinarishvili
Abstract
In the papers [1] and [6], for an inverse sequence of pointed topological spaces and fibrations preserving the base points
there exists an exact sequence
In the present paper, for an inverse sequence of pointed topological semi-simplicial sets and fibrations preserving base points
an analogous formula is proved.
References
[1] J. M. Cohen, Homotopy groups of inverse limits, Proceedings of the Advanced Study Institute on Algebraic Topology. Vol. I (Aarhus 1970), Various Publ. Ser. 13, Aarhus University, Aarhus (1970), 29–43. 10.1112/plms/s3-27.1.159Search in Google Scholar
[2] A. Dold, Lectures on Algebraic Topology (in German), Grundlehren Math. Wiss. 200, Springer, New York, 1972. 10.1007/978-3-662-00756-3Search in Google Scholar
[3] S.-T. Hu, Homotopy Theory, Pure Appl. Math. 8, Academic Press, New York, 1959. Search in Google Scholar
[4] L. Mdzinarishvili, Continuous singular cohomology, Georgian Math. J. 16 (2009), no. 2, 321–341. Search in Google Scholar
[5] E. H. Spanier, Algebraic Topology. Corrected Reprint of the 1966 Original, Springer, New York, 1966. 10.1007/978-1-4684-9322-1_5Search in Google Scholar
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Articles in the same Issue
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Articles in the same Issue
- Frontmatter
- Well-posedness and a general decay for a nonlinear damped porous thermoelastic system with second sound
- Isomorphism classes of weighted spaces of holomorphic functions on some subsets of complex plane
- Asymptotic behavior of solutions of fractional nabla q-difference equations
- A decomposition theorem for locally compact groups
- An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition
- Entire function sharing a small function with its mixed-operators
- Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
- On the full transitivity of a cotorsion hull
- Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization
- On the formula of Cohen–Vogt relatively pointed topological semi-simplicial sets
- On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
- On the generalized absolute convergence of Fourier series
- Embedding theorems for Besov–Morrey spaces of many groups of variables
-
Projective flatness of a new class of
- Spread relation of E-valued meromorphic functions and its application
- q-dual mixed volumes and Lp-intersection bodies
