# Connected covers and Neisendorfer's localization theorem

Fundamenta Mathematicae (1997)

- Volume: 152, Issue: 3, page 211-230
- ISSN: 0016-2736

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topMcGibbon, C., and Møller, J.. "Connected covers and Neisendorfer's localization theorem." Fundamenta Mathematicae 152.3 (1997): 211-230. <http://eudml.org/doc/212208>.

@article{McGibbon1997,

abstract = {Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category may be infinite, and they may serve as domains for nontrivial phantom maps.},

author = {McGibbon, C., Møller, J.},

journal = {Fundamenta Mathematicae},

keywords = {-connected cover; Mislin genus; phantom maps; Lyusternik-Shnirel'man category},

language = {eng},

number = {3},

pages = {211-230},

title = {Connected covers and Neisendorfer's localization theorem},

url = {http://eudml.org/doc/212208},

volume = {152},

year = {1997},

}

TY - JOUR

AU - McGibbon, C.

AU - Møller, J.

TI - Connected covers and Neisendorfer's localization theorem

JO - Fundamenta Mathematicae

PY - 1997

VL - 152

IS - 3

SP - 211

EP - 230

AB - Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category may be infinite, and they may serve as domains for nontrivial phantom maps.

LA - eng

KW - -connected cover; Mislin genus; phantom maps; Lyusternik-Shnirel'man category

UR - http://eudml.org/doc/212208

ER -

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