Zobrazeno 1 - 10 of 19 pro vyhledávání: '"C. R. F. Maunder"'
4
On the differentials in the Adams spectral sequence
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 60:409-420
In this paper, we shall prove a result which identifies the differentials in the Adams spectral sequence (see (1,2)) with certain cohomology operations of higher kinds, in the sense of (4). This theorem will be stated precisely at the end of section
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9fa302399ff733c19274e4101482451c
https://doi.org/10.1017/s0305004100037919
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5
Stable operations in mod p K-theory
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 63:631-646
There comes a time in the development of a cohomology theory when a discussion of cohomology operations becomes necessary. In the case of complex K-theory, the subject of the present paper, such operations have of course already been investigated by
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9f66fe8e99445172fbeeef3a12e10c7b
https://doi.org/10.1017/s0305004100041608
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6
Mod p cohomology theories and the Bockstein spectral sequence
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 63:23-43
Introduction. Let h*(X, A) be an extraordinary cohomology theory defined on the category of finite CW-pairs, that is, a cohomology theory satisfying all the axioms of Eilenberg and Steenrod (7) except the dimension axiom. This paper has three objects
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::443de20440aaff93b9bad195f730db2f
https://doi.org/10.1017/s0305004100040871
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7
The spectral sequence of an extraordinary cohomology theory
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 59:567-574
Given an ‘extraordinary cohomology theory’, that is, a cohomology theory satisfying all the axioms of Eilenberg and Steenrod (7) except the dimension axiom, it is well known that there exists a spectral sequence relating the ordinary cohomology o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::01d5beaa82c1c15f5153877a5e8aa84a
https://doi.org/10.1017/s0305004100037245
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9
On the differentials in the Adams spectral sequence for the stable homotopy groups of spheres. I
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 61:53-60
In (8), we have shown how, in general, the problem of identifying the differentials in the Adams spectral sequence (see(1),(4)) is equivalent to that of calculating certain higher-order cohomology operations (in the sense of (6)). However, we propose
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c51454bd5d4deada56a06cf2d9bc7ad0
https://doi.org/10.1017/s0305004100038639
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10
Cohomology operations and duality
Autor: C. R. F. Maunder
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 64:15-30
Since Thom first introduced the notion of the ‘dual’ of a Steenrod square, in (12), it has become apparent that calculation with such duals in the cohomology of, say, a simplicial complex X will often yield information about the impossibility of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::15861eb49c8cf2cc54864374aff5b31a
https://doi.org/10.1017/s030500410004250x
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